#!/usr/bin/env ruby def matrix_mul(a,b) rows = (0 .. a.size - 1).collect { |i| (0 .. b[0].size - 1).collect { |j| vij = 0 0.upto(a[i].size - 1) do |k| vij += a[i][k] * b[k][j] end vij } } return rows end matrix1 = [ [ 13, 458, 667, 794, 474, 190, 590, 164, 418, 713, 461, 72, 808, 252, 398, 668, 675, 392, 658, 285, 465, 759, 931, 318, 252, 137, 161, 961, 719, 710, 638, 475, 874, 832, 38, 775, 127, 232, 360, 53, 940, 62, 834, 369, 202, 101, 776, 475, 614, 112, 878, 94, 933, 957, 406, 604, 754, 746, 686, 798, 137, 978, 644, 884, 243, 949, 886, 430, 897, 838, 532, 691, 752, 321, 769, 303, 796, 355, 712, 761, 899, 191, 196, 890, 354, 641, 645, 756, 456, 422, 420, 681, 502, 386, 475, 342, 263, 387, 903, 585], [ 471, 29, 715, 919, 269, 703, 485, 770, 409, 254, 766, 399, 174, 697, 871, 663, 380, 843, 374, 861, 376, 161, 177, 496, 590, 688, 857, 47, 148, 889, 542, 711, 837, 884, 50, 40, 243, 409, 225, 214, 348, 695, 524, 82, 976, 235, 500, 85, 660, 982, 477, 200, 673, 702, 258, 697, 475, 580, 895, 399, 241, 308, 930, 974, 975, 961, 934, 114, 972, 556, 734, 407, 792, 470, 457, 682, 210, 70, 318, 884, 711, 682, 318, 154, 932, 336, 876, 988, 780, 498, 570, 997, 380, 738, 643, 576, 500, 417, 951, 917], [ 832, 881, 641, 275, 630, 836, 447, 177, 398, 30, 183, 520, 1, 999, 941, 108, 465, 609, 893, 320, 359, 422, 443, 319, 446, 263, 2, 670, 464, 407, 855, 133, 107, 287, 627, 742, 782, 850, 897, 311, 641, 142, 467, 219, 832, 465, 172, 979, 819, 633, 122, 970, 242, 412, 560, 644, 724, 404, 705, 89, 197, 43, 173, 888, 518, 104, 758, 204, 445, 31, 837, 708, 511, 140, 909, 371, 382, 295, 262, 144, 617, 943, 209, 216, 485, 541, 77, 737, 708, 787, 696, 5, 332, 954, 519, 374, 488, 84, 176, 365], [ 574, 23, 755, 550, 81, 403, 35, 616, 646, 26, 489, 502, 115, 469, 766, 975, 981, 710, 689, 386, 420, 405, 326, 65, 384, 845, 869, 556, 845, 222, 99, 770, 290, 199, 545, 105, 510, 728, 668, 66, 248, 426, 171, 283, 488, 514, 769, 673, 190, 819, 110, 94, 868, 49, 837, 36, 170, 10, 686, 475, 105, 215, 209, 579, 271, 959, 46, 48, 408, 948, 184, 534, 672, 325, 79, 301, 59, 232, 251, 53, 763, 78, 29, 570, 942, 216, 524, 357, 528, 893, 652, 545, 250, 14, 137, 158, 332, 710, 517, 625], [ 818, 612, 346, 27, 59, 585, 113, 883, 534, 331, 320, 641, 671, 432, 58, 181, 961, 434, 290, 417, 643, 816, 835, 135, 924, 927, 182, 838, 457, 625, 528, 642, 360, 651, 208, 28, 117, 174, 272, 243, 57, 923, 809, 156, 935, 979, 780, 844, 976, 674, 108, 117, 254, 434, 897, 630, 117, 241, 712, 234, 203, 870, 56, 828, 399, 909, 606, 402, 936, 581, 155, 691, 359, 771, 41, 589, 773, 622, 502, 182, 486, 583, 68, 291, 669, 981, 65, 976, 418, 278, 899, 573, 399, 45, 513, 261, 540, 411, 29, 511], [ 666, 292, 522, 214, 224, 159, 941, 805, 847, 174, 206, 116, 557, 570, 181, 749, 523, 791, 180, 802, 802, 690, 726, 798, 967, 398, 528, 528, 53, 719, 67, 201, 100, 995, 945, 252, 644, 328, 15, 60, 934, 849, 239, 242, 169, 131, 468, 54, 750, 27, 700, 704, 89, 810, 951, 599, 959, 279, 578, 364, 512, 269, 478, 570, 735, 792, 614, 198, 671, 140, 553, 311, 813, 741, 354, 272, 743, 829, 376, 464, 294, 111, 61, 791, 774, 754, 659, 180, 273, 959, 379, 113, 147, 279, 749, 728, 727, 937, 25, 257], [ 740, 239, 730, 571, 449, 192, 418, 178, 562, 591, 474, 832, 119, 113, 669, 259, 565, 309, 512, 529, 761, 353, 568, 734, 0, 883, 607, 455, 447, 5, 229, 350, 432, 4, 30, 879, 861, 445, 153, 120, 713, 810, 715, 584, 255, 953, 352, 938, 396, 729, 738, 459, 413, 367, 370, 917, 360, 375, 802, 497, 971, 250, 140, 731, 627, 507, 907, 694, 678, 36, 221, 42, 977, 71, 908, 51, 448, 530, 959, 427, 1, 442, 849, 703, 313, 754, 830, 311, 995, 947, 51, 791, 250, 79, 611, 302, 375, 846, 562, 141], [ 524, 47, 289, 556, 90, 800, 78, 576, 605, 104, 882, 770, 481, 84, 379, 340, 314, 304, 994, 948, 504, 887, 249, 246, 744, 729, 176, 573, 458, 443, 601, 963, 531, 671, 631, 16, 258, 290, 706, 23, 578, 812, 79, 85, 863, 503, 369, 26, 751, 294, 933, 231, 776, 913, 904, 603, 891, 113, 985, 470, 384, 234, 601, 919, 21, 570, 399, 464, 150, 46, 825, 250, 559, 244, 14, 767, 59, 964, 996, 644, 730, 802, 570, 963, 883, 89, 279, 826, 407, 140, 665, 611, 63, 741, 617, 842, 792, 557, 982, 154], [ 104, 977, 251, 143, 854, 149, 416, 480, 898, 704, 578, 132, 977, 511, 15, 172, 678, 862, 400, 293, 157, 407, 344, 540, 138, 752, 66, 308, 427, 641, 608, 369, 406, 182, 549, 858, 985, 752, 219, 235, 532, 103, 618, 522, 470, 156, 704, 129, 45, 133, 478, 26, 814, 987, 479, 117, 488, 414, 475, 53, 870, 232, 166, 22, 978, 181, 529, 480, 376, 25, 842, 153, 141, 602, 147, 199, 408, 673, 196, 576, 733, 488, 498, 521, 93, 360, 836, 534, 220, 599, 982, 461, 797, 269, 872, 46, 710, 367, 739, 41], [ 944, 815, 471, 676, 226, 348, 413, 145, 474, 762, 642, 335, 664, 964, 219, 614, 456, 704, 155, 810, 23, 460, 648, 876, 448, 842, 292, 833, 576, 837, 185, 343, 957, 219, 746, 482, 174, 812, 583, 501, 336, 309, 518, 483, 367, 8, 440, 690, 619, 316, 548, 833, 923, 677, 574, 132, 967, 271, 202, 111, 374, 962, 450, 749, 129, 563, 948, 778, 502, 943, 863, 935, 312, 731, 142, 726, 510, 953, 798, 766, 934, 26, 94, 776, 289, 972, 821, 503, 540, 203, 783, 333, 503, 781, 874, 309, 502, 644, 947, 219], [ 689, 803, 790, 729, 230, 755, 567, 824, 402, 897, 482, 519, 429, 148, 825, 631, 265, 443, 895, 638, 204, 878, 718, 953, 367, 52, 601, 503, 254, 108, 718, 360, 21, 116, 746, 527, 348, 660, 684, 36, 560, 306, 30, 498, 326, 932, 348, 674, 509, 881, 167, 443, 360, 208, 46, 924, 959, 574, 482, 620, 561, 158, 497, 33, 786, 723, 528, 931, 166, 935, 424, 624, 576, 523, 458, 733, 472, 750, 252, 257, 778, 541, 478, 673, 343, 253, 498, 778, 380, 320, 630, 315, 764, 266, 740, 940, 941, 217, 30, 825], [ 833, 651, 195, 221, 32, 666, 999, 967, 651, 934, 414, 224, 184, 573, 33, 975, 223, 768, 330, 38, 94, 464, 358, 119, 900, 880, 141, 835, 345, 520, 45, 302, 609, 251, 998, 38, 862, 643, 535, 811, 525, 284, 540, 529, 124, 760, 176, 81, 590, 93, 378, 947, 195, 93, 949, 470, 405, 971, 106, 16, 367, 242, 193, 217, 550, 178, 368, 806, 220, 296, 245, 604, 806, 241, 437, 866, 480, 411, 233, 321, 579, 46, 107, 706, 313, 322, 183, 959, 274, 868, 426, 156, 684, 458, 220, 750, 708, 750, 188, 343], [ 708, 130, 155, 703, 348, 471, 382, 659, 917, 59, 96, 572, 599, 435, 821, 14, 863, 747, 495, 360, 680, 737, 20, 49, 639, 398, 769, 625, 159, 599, 377, 875, 982, 181, 466, 7, 29, 197, 979, 707, 169, 204, 895, 104, 505, 120, 780, 233, 875, 390, 503, 12, 361, 994, 211, 3, 627, 747, 277, 496, 17, 15, 607, 929, 1, 463, 595, 422, 344, 924, 709, 939, 461, 629, 44, 678, 156, 816, 421, 853, 376, 172, 857, 777, 293, 89, 203, 729, 110, 770, 289, 795, 251, 729, 302, 102, 545, 642, 468, 373], [ 950, 758, 247, 434, 855, 261, 874, 334, 356, 805, 220, 109, 525, 566, 533, 947, 941, 654, 95, 511, 939, 546, 568, 815, 89, 260, 272, 792, 891, 367, 608, 91, 689, 636, 446, 488, 74, 508, 257, 13, 408, 273, 789, 984, 749, 965, 583, 920, 703, 762, 723, 124, 689, 249, 885, 39, 829, 261, 748, 415, 665, 481, 817, 525, 808, 3, 626, 481, 434, 112, 946, 135, 708, 340, 949, 288, 526, 523, 417, 959, 668, 87, 106, 586, 430, 151, 966, 824, 997, 343, 235, 676, 944, 147, 720, 909, 394, 769, 618, 263], [ 799, 8, 776, 287, 629, 611, 860, 539, 22, 707, 685, 40, 548, 156, 23, 104, 751, 759, 392, 941, 520, 193, 978, 686, 396, 123, 151, 513, 570, 944, 516, 339, 195, 96, 656, 821, 273, 128, 695, 937, 230, 714, 936, 220, 783, 375, 489, 512, 173, 358, 702, 989, 438, 938, 772, 149, 587, 453, 373, 6, 270, 237, 169, 344, 288, 520, 166, 872, 67, 334, 409, 508, 729, 149, 540, 916, 519, 541, 115, 58, 580, 311, 115, 648, 640, 727, 373, 837, 350, 739, 610, 325, 643, 348, 917, 815, 990, 416, 636, 837], [ 726, 669, 723, 348, 924, 410, 280, 192, 682, 371, 132, 487, 106, 951, 298, 983, 724, 8, 507, 451, 219, 966, 979, 704, 156, 237, 930, 29, 899, 488, 812, 209, 701, 934, 807, 159, 55, 767, 700, 485, 173, 352, 60, 947, 19, 140, 793, 856, 949, 48, 331, 458, 785, 238, 463, 691, 765, 461, 133, 114, 406, 125, 643, 108, 725, 435, 807, 25, 797, 734, 618, 75, 728, 3, 452, 109, 202, 59, 949, 437, 673, 129, 230, 150, 788, 58, 542, 171, 393, 146, 436, 496, 310, 927, 813, 107, 496, 132, 959, 400], [ 177, 48, 86, 428, 979, 703, 678, 260, 714, 25, 547, 712, 192, 853, 723, 465, 795, 490, 931, 912, 272, 819, 531, 754, 148, 492, 906, 112, 187, 652, 872, 468, 179, 703, 595, 54, 537, 948, 553, 36, 951, 568, 749, 651, 154, 528, 27, 256, 676, 430, 147, 838, 91, 747, 256, 246, 983, 690, 483, 525, 157, 673, 871, 771, 465, 693, 143, 365, 540, 710, 782, 174, 890, 793, 207, 174, 638, 905, 577, 225, 628, 224, 195, 560, 860, 613, 68, 588, 415, 805, 873, 782, 885, 650, 772, 297, 449, 307, 398, 777], [ 422, 178, 282, 640, 756, 342, 94, 657, 563, 336, 87, 763, 710, 889, 632, 757, 76, 954, 651, 728, 824, 195, 621, 648, 386, 493, 941, 970, 816, 198, 450, 809, 760, 418, 558, 695, 331, 200, 1, 596, 954, 428, 440, 41, 531, 682, 117, 33, 498, 389, 161, 298, 199, 462, 273, 780, 289, 613, 764, 646, 813, 514, 508, 311, 52, 896, 816, 434, 488, 79, 806, 349, 592, 20, 424, 916, 172, 837, 574, 937, 374, 213, 668, 358, 714, 851, 782, 617, 336, 132, 914, 202, 104, 224, 676, 674, 349, 795, 308, 794], [ 16, 483, 140, 120, 643, 768, 463, 61, 37, 58, 347, 586, 746, 588, 850, 964, 29, 443, 949, 960, 219, 994, 861, 870, 517, 338, 529, 353, 229, 635, 34, 763, 207, 278, 633, 43, 403, 926, 545, 544, 620, 385, 755, 88, 620, 219, 169, 438, 632, 953, 694, 327, 448, 729, 927, 644, 289, 643, 792, 738, 712, 871, 799, 513, 217, 764, 14, 676, 989, 463, 892, 918, 5, 350, 240, 156, 17, 850, 282, 127, 470, 109, 82, 624, 940, 428, 555, 116, 572, 566, 731, 617, 370, 943, 347, 885, 947, 321, 913, 102], [ 952, 592, 850, 993, 3, 924, 234, 709, 905, 727, 716, 595, 889, 404, 538, 72, 238, 382, 919, 35, 39, 768, 834, 270, 160, 512, 956, 175, 579, 719, 70, 626, 321, 923, 251, 873, 261, 189, 105, 139, 151, 386, 808, 899, 901, 97, 53, 415, 163, 536, 564, 176, 160, 386, 511, 749, 868, 179, 881, 601, 270, 232, 782, 799, 21, 488, 712, 127, 95, 315, 572, 320, 871, 458, 184, 621, 481, 219, 327, 442, 196, 409, 471, 959, 487, 200, 527, 272, 433, 657, 650, 409, 788, 291, 832, 689, 36, 0, 481, 400], [ 924, 734, 63, 557, 915, 936, 250, 720, 481, 315, 153, 122, 21, 727, 371, 8, 225, 826, 827, 344, 235, 867, 629, 747, 213, 786, 851, 780, 526, 56, 233, 204, 123, 49, 864, 403, 62, 270, 980, 732, 165, 40, 590, 522, 862, 214, 496, 166, 366, 946, 76, 703, 744, 541, 227, 293, 983, 841, 442, 455, 670, 45, 564, 905, 117, 692, 903, 540, 154, 73, 136, 932, 969, 563, 514, 969, 50, 322, 447, 729, 285, 262, 663, 83, 963, 456, 745, 699, 33, 875, 590, 469, 541, 846, 136, 700, 283, 869, 974, 224], [ 239, 879, 691, 695, 216, 457, 353, 264, 211, 712, 911, 679, 421, 540, 492, 10, 796, 828, 84, 992, 596, 906, 500, 340, 425, 452, 801, 930, 74, 718, 338, 297, 277, 474, 455, 739, 439, 692, 384, 776, 760, 888, 175, 977, 381, 614, 613, 229, 632, 56, 959, 997, 155, 427, 408, 52, 122, 295, 651, 164, 395, 638, 713, 142, 200, 912, 189, 71, 673, 938, 26, 516, 244, 566, 378, 896, 542, 591, 97, 320, 978, 881, 228, 615, 728, 704, 776, 962, 473, 274, 915, 977, 687, 131, 232, 19, 537, 796, 186, 317], [ 386, 376, 759, 333, 495, 987, 100, 685, 405, 463, 662, 37, 219, 586, 480, 110, 918, 751, 796, 530, 38, 384, 30, 25, 432, 114, 49, 174, 119, 883, 701, 789, 132, 75, 456, 147, 425, 769, 582, 89, 732, 417, 462, 723, 278, 595, 5, 897, 600, 809, 797, 359, 242, 450, 175, 194, 920, 718, 38, 242, 671, 915, 870, 724, 247, 328, 354, 30, 997, 534, 523, 659, 758, 755, 208, 281, 235, 688, 360, 55, 193, 644, 797, 925, 40, 902, 155, 573, 584, 997, 665, 896, 808, 161, 827, 47, 631, 868, 761, 574], [ 347, 127, 476, 519, 358, 390, 895, 21, 811, 806, 246, 53, 934, 542, 250, 694, 855, 290, 294, 657, 969, 896, 427, 598, 703, 724, 108, 242, 202, 44, 222, 99, 169, 821, 338, 631, 937, 412, 487, 581, 824, 873, 636, 555, 529, 866, 156, 502, 381, 524, 693, 242, 380, 3, 423, 820, 380, 740, 273, 907, 53, 361, 743, 889, 746, 297, 585, 374, 650, 916, 191, 807, 128, 258, 16, 299, 972, 581, 573, 419, 762, 618, 484, 24, 908, 744, 686, 114, 417, 166, 802, 745, 577, 734, 647, 689, 979, 552, 783, 914], [ 492, 272, 626, 991, 522, 426, 989, 162, 420, 452, 25, 886, 910, 824, 236, 597, 295, 908, 525, 243, 140, 895, 281, 728, 953, 540, 307, 510, 133, 89, 321, 547, 417, 284, 759, 913, 796, 646, 675, 454, 747, 15, 173, 467, 543, 543, 331, 83, 965, 432, 178, 876, 238, 713, 365, 204, 620, 722, 51, 443, 203, 942, 759, 337, 482, 231, 363, 570, 866, 142, 816, 104, 312, 477, 315, 478, 557, 289, 713, 644, 597, 261, 290, 227, 452, 762, 882, 500, 997, 306, 920, 258, 340, 703, 502, 940, 172, 153, 356, 800], [ 370, 977, 232, 299, 448, 891, 102, 428, 597, 70, 828, 395, 629, 183, 65, 539, 803, 148, 942, 824, 644, 698, 880, 949, 793, 669, 20, 435, 757, 243, 860, 802, 814, 318, 870, 0, 884, 653, 386, 520, 882, 722, 323, 259, 856, 279, 830, 577, 395, 518, 967, 332, 2, 920, 374, 42, 398, 109, 739, 511, 691, 536, 934, 748, 755, 7, 55, 126, 661, 23, 687, 199, 153, 884, 32, 254, 887, 480, 448, 232, 230, 149, 610, 711, 534, 567, 567, 190, 391, 459, 707, 292, 398, 349, 402, 733, 998, 794, 601, 712], [ 285, 622, 412, 377, 604, 165, 215, 583, 140, 830, 2, 949, 438, 866, 642, 542, 412, 880, 869, 306, 251, 832, 604, 413, 9, 342, 79, 147, 747, 982, 275, 240, 394, 77, 52, 596, 22, 446, 385, 528, 109, 52, 514, 384, 383, 267, 157, 113, 835, 23, 471, 948, 203, 387, 169, 81, 738, 218, 189, 24, 626, 398, 483, 392, 573, 993, 983, 720, 666, 23, 344, 698, 726, 911, 587, 332, 918, 696, 606, 930, 92, 946, 851, 305, 919, 795, 842, 47, 721, 972, 942, 538, 917, 465, 887, 66, 117, 432, 522, 680], [ 186, 183, 101, 655, 548, 888, 405, 282, 835, 795, 530, 847, 257, 70, 571, 926, 342, 352, 419, 228, 116, 343, 287, 397, 25, 185, 310, 615, 993, 594, 668, 889, 381, 714, 407, 874, 908, 525, 938, 878, 868, 87, 583, 926, 782, 440, 213, 964, 846, 536, 66, 655, 472, 184, 664, 540, 124, 306, 276, 336, 548, 884, 597, 410, 633, 756, 2, 366, 660, 836, 218, 5, 362, 589, 266, 75, 27, 723, 773, 691, 891, 380, 678, 571, 341, 348, 306, 901, 302, 59, 791, 23, 932, 172, 540, 712, 607, 473, 230, 640], [ 821, 438, 975, 442, 709, 268, 695, 469, 686, 121, 393, 979, 83, 868, 156, 75, 716, 379, 204, 235, 886, 270, 266, 245, 628, 678, 785, 459, 723, 597, 99, 301, 901, 192, 707, 692, 69, 242, 175, 901, 754, 481, 679, 333, 560, 91, 359, 741, 900, 894, 552, 432, 839, 866, 744, 246, 823, 529, 193, 828, 839, 744, 494, 778, 244, 373, 90, 111, 828, 388, 83, 914, 367, 159, 503, 176, 266, 525, 23, 725, 984, 562, 100, 720, 466, 914, 87, 611, 107, 726, 727, 87, 803, 79, 689, 173, 602, 822, 143, 994], [ 391, 754, 164, 791, 822, 431, 156, 633, 9, 898, 762, 50, 270, 90, 928, 691, 382, 524, 238, 795, 548, 131, 886, 893, 48, 36, 973, 668, 675, 593, 489, 121, 639, 772, 613, 756, 881, 632, 298, 703, 341, 92, 705, 190, 734, 859, 19, 302, 156, 203, 383, 732, 40, 191, 893, 66, 980, 759, 175, 69, 778, 659, 102, 510, 50, 338, 529, 100, 102, 613, 151, 453, 833, 492, 626, 506, 836, 155, 658, 466, 637, 906, 502, 239, 306, 665, 245, 580, 213, 43, 373, 769, 539, 70, 733, 53, 242, 943, 432, 129], [ 958, 780, 435, 245, 741, 922, 433, 828, 14, 309, 151, 786, 237, 507, 163, 306, 362, 807, 940, 83, 4, 82, 855, 950, 616, 639, 401, 15, 675, 213, 114, 143, 957, 998, 388, 422, 407, 852, 285, 179, 910, 538, 379, 947, 537, 757, 136, 659, 339, 310, 323, 371, 92, 75, 52, 496, 155, 522, 491, 985, 150, 534, 674, 440, 668, 287, 454, 367, 70, 740, 208, 923, 522, 328, 78, 630, 874, 741, 157, 121, 340, 727, 835, 525, 373, 120, 365, 612, 668, 436, 498, 435, 227, 457, 130, 783, 698, 674, 750, 358], [ 752, 748, 639, 811, 169, 386, 755, 923, 610, 406, 430, 579, 122, 550, 503, 27, 937, 908, 867, 19, 466, 550, 394, 175, 115, 718, 128, 456, 614, 116, 543, 733, 993, 813, 847, 644, 305, 608, 331, 436, 475, 910, 998, 420, 728, 223, 987, 691, 163, 122, 568, 961, 981, 276, 616, 405, 684, 120, 259, 420, 29, 817, 833, 549, 197, 350, 479, 755, 34, 776, 733, 529, 155, 738, 104, 714, 908, 833, 518, 641, 798, 538, 794, 183, 94, 454, 603, 188, 493, 138, 66, 759, 104, 884, 837, 241, 546, 894, 666, 354], [ 543, 651, 287, 308, 110, 188, 968, 950, 593, 484, 126, 983, 274, 647, 386, 510, 604, 649, 125, 994, 379, 309, 632, 503, 812, 358, 513, 145, 569, 213, 519, 638, 40, 311, 578, 761, 22, 785, 168, 543, 973, 809, 789, 388, 41, 969, 464, 624, 514, 166, 328, 912, 706, 540, 657, 735, 367, 776, 25, 106, 449, 758, 897, 869, 369, 748, 89, 680, 439, 144, 480, 488, 130, 204, 479, 581, 573, 167, 497, 962, 385, 339, 597, 807, 851, 463, 706, 481, 408, 761, 688, 14, 432, 854, 981, 890, 222, 792, 616, 395], [ 830, 656, 853, 928, 408, 355, 638, 646, 180, 301, 783, 257, 149, 571, 443, 522, 179, 321, 926, 223, 557, 238, 18, 165, 805, 410, 203, 567, 549, 201, 841, 511, 342, 41, 80, 561, 759, 481, 704, 506, 645, 316, 59, 984, 337, 786, 831, 474, 971, 90, 293, 531, 568, 846, 588, 160, 308, 837, 683, 105, 24, 791, 859, 228, 280, 604, 627, 223, 781, 709, 376, 777, 886, 73, 268, 177, 101, 354, 817, 75, 181, 927, 26, 633, 505, 660, 361, 165, 153, 516, 606, 925, 311, 169, 130, 213, 381, 989, 772, 427], [ 702, 358, 467, 189, 170, 5, 768, 288, 103, 3, 155, 754, 312, 179, 645, 54, 750, 589, 618, 950, 417, 586, 382, 539, 970, 987, 684, 516, 307, 777, 779, 734, 891, 508, 596, 278, 816, 106, 320, 526, 33, 245, 543, 900, 854, 475, 207, 482, 377, 992, 440, 939, 446, 799, 70, 491, 624, 557, 787, 991, 859, 658, 39, 802, 952, 898, 829, 848, 287, 268, 57, 279, 746, 899, 782, 487, 368, 715, 945, 93, 198, 510, 859, 941, 815, 96, 831, 822, 937, 414, 197, 592, 919, 478, 507, 701, 919, 794, 301, 548], [ 176, 43, 493, 300, 286, 807, 706, 313, 629, 560, 329, 558, 722, 315, 638, 12, 684, 144, 657, 107, 456, 690, 371, 526, 917, 699, 962, 792, 640, 755, 136, 734, 348, 601, 823, 73, 384, 240, 186, 187, 929, 718, 349, 981, 74, 290, 703, 846, 509, 906, 652, 762, 872, 556, 928, 461, 334, 619, 114, 719, 828, 449, 596, 616, 92, 278, 403, 770, 284, 525, 649, 102, 316, 493, 691, 726, 413, 283, 671, 906, 935, 988, 409, 476, 276, 890, 572, 500, 111, 559, 126, 666, 754, 601, 144, 445, 912, 145, 645, 367], [ 557, 336, 787, 429, 932, 959, 980, 109, 975, 72, 248, 841, 668, 586, 504, 672, 428, 582, 815, 290, 343, 860, 270, 872, 413, 498, 656, 138, 550, 204, 981, 782, 605, 231, 368, 519, 175, 639, 382, 307, 413, 609, 0, 240, 725, 226, 163, 503, 825, 869, 535, 362, 712, 980, 178, 995, 292, 251, 542, 175, 546, 157, 172, 743, 625, 16, 664, 911, 42, 464, 801, 313, 508, 998, 964, 284, 894, 852, 577, 992, 780, 88, 39, 504, 302, 336, 432, 888, 724, 435, 783, 595, 110, 155, 997, 618, 269, 451, 358, 750], [ 195, 674, 151, 665, 281, 824, 780, 877, 977, 655, 329, 780, 789, 810, 381, 972, 731, 496, 341, 301, 50, 936, 36, 334, 758, 730, 735, 330, 107, 847, 973, 256, 416, 686, 947, 377, 580, 38, 667, 366, 670, 107, 416, 687, 425, 16, 894, 269, 57, 439, 369, 998, 388, 632, 643, 718, 733, 17, 46, 362, 165, 111, 925, 25, 224, 948, 576, 425, 505, 872, 72, 782, 639, 874, 318, 848, 591, 459, 340, 943, 139, 220, 790, 325, 219, 657, 45, 781, 825, 15, 174, 773, 374, 525, 257, 437, 82, 395, 241, 580], [ 522, 210, 868, 79, 613, 801, 455, 715, 266, 198, 240, 957, 860, 523, 69, 908, 664, 393, 647, 61, 211, 462, 584, 262, 353, 997, 467, 983, 192, 568, 647, 315, 214, 516, 147, 576, 992, 552, 997, 116, 670, 277, 817, 310, 286, 603, 614, 192, 894, 841, 411, 971, 403, 510, 673, 905, 146, 444, 850, 802, 239, 330, 732, 791, 407, 418, 98, 314, 662, 226, 89, 187, 811, 45, 698, 937, 110, 819, 664, 298, 373, 471, 932, 26, 787, 430, 811, 424, 135, 593, 55, 863, 588, 596, 773, 81, 15, 397, 998, 73], [ 902, 102, 761, 737, 520, 943, 576, 22, 694, 901, 702, 791, 333, 53, 726, 686, 175, 637, 374, 953, 737, 217, 641, 204, 397, 583, 658, 900, 432, 303, 6, 810, 417, 264, 752, 828, 221, 843, 971, 29, 915, 779, 686, 974, 204, 727, 799, 439, 497, 146, 29, 737, 883, 410, 195, 783, 705, 91, 856, 761, 639, 622, 575, 528, 533, 826, 764, 983, 673, 749, 884, 145, 419, 912, 716, 183, 361, 398, 217, 66, 254, 853, 914, 867, 736, 538, 74, 29, 457, 562, 39, 442, 416, 212, 594, 13, 137, 159, 798, 200], [ 806, 464, 233, 550, 895, 229, 19, 6, 462, 976, 896, 643, 318, 620, 109, 758, 4, 618, 498, 751, 114, 471, 965, 354, 309, 372, 488, 991, 369, 15, 464, 110, 641, 89, 921, 852, 86, 136, 387, 281, 294, 142, 704, 432, 188, 197, 842, 169, 504, 173, 299, 927, 764, 104, 472, 468, 497, 303, 886, 486, 68, 794, 41, 448, 206, 550, 669, 863, 35, 461, 505, 282, 551, 972, 58, 939, 56, 134, 701, 288, 286, 109, 427, 996, 605, 919, 754, 443, 690, 31, 30, 395, 793, 128, 332, 393, 901, 755, 63, 806], [ 360, 305, 726, 670, 640, 860, 408, 962, 803, 189, 524, 424, 327, 959, 401, 975, 456, 65, 73, 20, 948, 928, 206, 629, 280, 283, 633, 66, 288, 398, 431, 396, 583, 544, 201, 417, 793, 934, 239, 166, 890, 76, 288, 543, 614, 275, 500, 664, 723, 878, 419, 121, 653, 180, 393, 283, 9, 347, 416, 381, 782, 733, 337, 506, 567, 334, 802, 560, 323, 70, 861, 74, 331, 880, 180, 546, 875, 202, 378, 659, 246, 84, 160, 174, 777, 805, 680, 387, 360, 781, 77, 673, 646, 297, 631, 780, 805, 642, 986, 168], [ 438, 909, 393, 147, 68, 794, 310, 353, 785, 259, 443, 618, 838, 482, 31, 53, 183, 222, 874, 134, 363, 687, 807, 870, 534, 327, 195, 442, 715, 619, 458, 790, 459, 45, 163, 579, 834, 631, 743, 759, 210, 262, 182, 323, 633, 820, 162, 502, 546, 442, 771, 519, 186, 154, 663, 80, 295, 638, 810, 435, 392, 280, 64, 700, 34, 960, 43, 280, 648, 939, 372, 818, 63, 276, 622, 992, 210, 32, 340, 543, 112, 7, 747, 148, 751, 542, 269, 973, 559, 842, 986, 358, 621, 757, 821, 573, 313, 404, 364, 235], [ 995, 102, 157, 156, 393, 342, 601, 521, 188, 365, 398, 572, 435, 444, 482, 147, 697, 225, 78, 684, 788, 902, 715, 434, 410, 234, 189, 838, 84, 809, 249, 612, 973, 845, 708, 532, 310, 423, 115, 918, 224, 318, 96, 677, 663, 437, 964, 598, 256, 762, 185, 388, 881, 681, 274, 661, 87, 487, 957, 488, 718, 156, 305, 929, 694, 681, 873, 193, 948, 586, 449, 837, 666, 963, 612, 16, 11, 14, 80, 351, 882, 778, 348, 588, 268, 322, 857, 808, 66, 485, 932, 872, 131, 130, 542, 861, 637, 652, 925, 678], [ 399, 883, 908, 844, 371, 977, 645, 68, 142, 437, 102, 642, 713, 580, 220, 644, 573, 860, 644, 961, 855, 399, 631, 548, 516, 48, 419, 387, 445, 0, 139, 15, 949, 137, 66, 682, 583, 210, 82, 238, 887, 327, 754, 392, 458, 241, 591, 77, 283, 543, 497, 71, 297, 571, 897, 553, 788, 668, 687, 742, 724, 656, 563, 824, 672, 501, 297, 230, 867, 399, 174, 863, 736, 281, 859, 564, 64, 576, 780, 706, 83, 863, 416, 818, 882, 825, 554, 522, 846, 100, 619, 409, 858, 106, 604, 358, 84, 469, 907, 945], [ 479, 776, 514, 556, 70, 130, 285, 164, 743, 683, 949, 848, 944, 465, 532, 668, 423, 448, 377, 321, 126, 183, 670, 420, 623, 718, 663, 314, 346, 963, 261, 806, 532, 700, 279, 854, 560, 826, 670, 627, 55, 401, 600, 489, 988, 131, 854, 810, 432, 620, 401, 602, 644, 128, 16, 285, 851, 267, 757, 599, 640, 576, 367, 286, 841, 547, 953, 240, 422, 287, 866, 268, 508, 448, 218, 691, 225, 387, 896, 661, 792, 592, 512, 663, 879, 107, 939, 597, 442, 86, 622, 180, 920, 124, 779, 768, 842, 186, 510, 940], [ 92, 218, 621, 633, 308, 71, 148, 12, 914, 219, 487, 357, 172, 917, 410, 357, 790, 253, 588, 338, 476, 899, 347, 804, 221, 382, 438, 618, 739, 118, 785, 672, 565, 288, 439, 701, 870, 771, 178, 968, 279, 461, 37, 443, 536, 346, 454, 284, 105, 315, 260, 619, 794, 182, 339, 611, 722, 300, 650, 90, 344, 540, 959, 296, 565, 162, 535, 920, 155, 352, 979, 410, 419, 686, 133, 537, 528, 263, 257, 155, 457, 647, 288, 629, 540, 87, 715, 498, 727, 642, 965, 513, 242, 382, 188, 279, 711, 925, 797, 271], [ 345, 580, 999, 63, 651, 525, 771, 954, 946, 536, 360, 649, 170, 743, 628, 171, 103, 71, 425, 209, 292, 528, 319, 501, 420, 666, 430, 50, 49, 824, 402, 975, 198, 798, 948, 975, 523, 729, 300, 115, 950, 722, 999, 325, 727, 763, 290, 977, 927, 498, 305, 558, 800, 346, 732, 828, 559, 352, 986, 94, 774, 216, 572, 258, 632, 639, 789, 847, 686, 76, 911, 227, 714, 914, 764, 263, 203, 867, 154, 815, 121, 533, 113, 833, 137, 491, 473, 434, 971, 183, 797, 546, 366, 673, 109, 914, 117, 250, 922, 973], [ 983, 801, 354, 120, 648, 917, 306, 406, 995, 22, 512, 442, 767, 755, 194, 412, 329, 941, 382, 489, 305, 904, 573, 189, 197, 25, 109, 693, 54, 127, 418, 872, 68, 649, 876, 595, 8, 635, 31, 14, 151, 755, 382, 986, 584, 493, 202, 854, 836, 116, 840, 869, 910, 634, 911, 659, 396, 910, 788, 172, 289, 20, 398, 897, 765, 249, 779, 710, 553, 235, 955, 626, 201, 639, 788, 149, 856, 214, 126, 296, 74, 674, 303, 130, 416, 736, 410, 725, 175, 753, 632, 376, 270, 114, 294, 282, 59, 793, 495, 757], [ 787, 11, 493, 807, 254, 33, 848, 99, 676, 476, 862, 990, 627, 308, 709, 188, 459, 327, 95, 835, 782, 191, 864, 618, 310, 917, 401, 925, 184, 306, 830, 439, 7, 501, 58, 874, 268, 482, 27, 56, 183, 874, 167, 101, 467, 41, 508, 64, 133, 292, 491, 517, 49, 673, 525, 862, 224, 789, 42, 810, 906, 637, 305, 636, 91, 663, 759, 437, 632, 706, 590, 371, 87, 263, 926, 346, 594, 645, 399, 981, 571, 228, 24, 438, 947, 670, 348, 496, 435, 581, 300, 637, 757, 695, 317, 883, 706, 226, 210, 445], [ 958, 461, 56, 421, 682, 860, 811, 823, 348, 292, 232, 942, 221, 490, 150, 805, 386, 379, 576, 527, 295, 934, 316, 679, 298, 676, 215, 142, 223, 879, 1, 524, 375, 928, 180, 402, 912, 341, 83, 228, 785, 505, 485, 376, 538, 897, 44, 468, 378, 145, 355, 589, 498, 502, 100, 239, 608, 789, 738, 571, 762, 831, 107, 905, 856, 209, 744, 53, 334, 951, 313, 924, 943, 528, 738, 56, 283, 456, 696, 478, 722, 649, 360, 147, 121, 522, 699, 662, 227, 79, 147, 267, 572, 756, 705, 891, 171, 595, 544, 130], [ 220, 901, 493, 966, 413, 676, 45, 552, 315, 309, 745, 997, 181, 231, 608, 761, 782, 280, 377, 707, 520, 711, 888, 966, 787, 812, 924, 909, 486, 704, 409, 222, 176, 780, 409, 943, 251, 151, 910, 552, 192, 388, 700, 690, 326, 453, 552, 421, 803, 602, 465, 698, 462, 763, 340, 400, 951, 757, 890, 270, 861, 860, 983, 749, 317, 922, 467, 305, 873, 229, 186, 365, 770, 270, 197, 42, 742, 539, 809, 425, 622, 43, 256, 457, 45, 233, 798, 152, 975, 968, 912, 732, 206, 53, 235, 669, 897, 393, 489, 269], [ 504, 536, 873, 35, 906, 508, 877, 548, 363, 549, 963, 945, 817, 68, 106, 302, 741, 237, 15, 403, 679, 193, 475, 571, 459, 737, 280, 255, 5, 766, 63, 306, 521, 61, 33, 334, 581, 372, 861, 187, 591, 852, 149, 137, 138, 353, 961, 192, 931, 633, 299, 558, 944, 821, 176, 25, 983, 14, 728, 287, 898, 311, 520, 963, 505, 210, 611, 856, 129, 686, 870, 361, 432, 822, 946, 518, 554, 58, 775, 988, 514, 637, 603, 81, 708, 684, 759, 115, 262, 68, 472, 78, 133, 36, 256, 576, 930, 711, 823, 424], [ 353, 407, 869, 653, 839, 201, 930, 469, 413, 980, 216, 990, 332, 247, 825, 504, 351, 329, 7, 656, 766, 87, 335, 780, 420, 185, 440, 848, 573, 458, 662, 289, 390, 824, 831, 604, 618, 569, 272, 947, 37, 865, 402, 442, 484, 869, 621, 448, 73, 862, 154, 180, 437, 148, 817, 139, 79, 252, 603, 962, 530, 143, 519, 292, 661, 77, 851, 193, 706, 901, 710, 595, 905, 753, 771, 924, 278, 913, 161, 504, 619, 146, 42, 903, 133, 740, 805, 594, 93, 605, 76, 751, 785, 519, 416, 855, 593, 27, 948, 715], [ 436, 944, 136, 790, 478, 878, 349, 862, 428, 542, 404, 958, 576, 185, 364, 719, 776, 427, 509, 415, 647, 393, 801, 473, 699, 945, 966, 261, 731, 738, 883, 180, 267, 543, 369, 336, 2, 678, 768, 999, 482, 559, 965, 743, 230, 282, 173, 413, 873, 516, 442, 599, 456, 623, 355, 87, 492, 294, 694, 910, 910, 479, 250, 679, 975, 425, 946, 57, 461, 690, 82, 847, 707, 480, 17, 658, 143, 984, 585, 786, 368, 787, 107, 715, 411, 75, 475, 846, 633, 469, 23, 635, 645, 766, 818, 723, 197, 560, 6, 869], [ 529, 1, 434, 535, 110, 21, 521, 976, 468, 45, 988, 859, 426, 359, 861, 430, 256, 965, 908, 323, 559, 548, 386, 41, 484, 161, 816, 619, 12, 348, 659, 845, 183, 354, 849, 11, 69, 816, 677, 305, 395, 990, 641, 936, 976, 559, 810, 218, 309, 167, 747, 747, 288, 945, 702, 411, 609, 571, 789, 308, 33, 687, 52, 228, 274, 152, 704, 114, 422, 694, 922, 856, 754, 492, 425, 94, 944, 371, 96, 509, 640, 554, 387, 481, 76, 202, 437, 279, 513, 91, 529, 46, 346, 65, 136, 314, 733, 184, 826, 29], [ 96, 760, 913, 599, 849, 413, 885, 848, 867, 877, 518, 17, 17, 716, 312, 333, 56, 231, 611, 761, 35, 913, 993, 847, 516, 584, 671, 889, 85, 971, 701, 855, 266, 516, 683, 485, 803, 698, 183, 494, 209, 444, 381, 714, 840, 733, 258, 757, 813, 581, 182, 700, 390, 918, 281, 194, 150, 818, 350, 33, 764, 815, 203, 51, 683, 608, 828, 563, 48, 835, 580, 770, 697, 870, 331, 373, 738, 265, 137, 895, 860, 753, 314, 575, 43, 560, 374, 696, 341, 840, 398, 821, 658, 917, 738, 846, 847, 937, 203, 500], [ 652, 815, 235, 964, 317, 475, 299, 195, 815, 941, 199, 15, 277, 877, 683, 958, 713, 974, 379, 866, 789, 143, 556, 291, 202, 413, 868, 768, 572, 705, 525, 674, 906, 898, 814, 729, 730, 859, 515, 132, 978, 220, 460, 351, 293, 64, 579, 857, 626, 535, 751, 368, 629, 437, 209, 550, 123, 299, 593, 881, 150, 708, 389, 179, 223, 324, 196, 893, 362, 108, 160, 354, 522, 667, 876, 404, 410, 308, 156, 586, 969, 757, 311, 639, 342, 751, 702, 588, 311, 885, 707, 364, 488, 722, 315, 127, 70, 900, 927, 465], [ 344, 464, 498, 130, 440, 992, 394, 695, 899, 821, 18, 732, 215, 438, 3, 135, 369, 433, 763, 541, 398, 751, 959, 766, 541, 672, 668, 47, 297, 632, 144, 722, 807, 940, 207, 582, 401, 755, 864, 425, 483, 233, 889, 780, 249, 844, 10, 304, 302, 194, 188, 740, 180, 749, 997, 591, 370, 926, 873, 49, 314, 603, 284, 403, 416, 147, 667, 608, 987, 54, 152, 928, 28, 389, 338, 30, 213, 390, 65, 631, 317, 219, 709, 298, 803, 88, 655, 933, 102, 530, 994, 988, 650, 445, 345, 152, 528, 898, 178, 596], [ 400, 844, 91, 574, 583, 793, 852, 997, 477, 28, 359, 268, 361, 904, 447, 194, 353, 534, 475, 428, 866, 399, 438, 296, 141, 784, 284, 329, 752, 146, 202, 144, 893, 38, 89, 490, 422, 25, 631, 480, 242, 93, 814, 753, 518, 657, 985, 555, 912, 351, 822, 620, 165, 190, 439, 22, 978, 449, 381, 612, 200, 814, 128, 7, 984, 567, 249, 567, 242, 563, 962, 55, 698, 998, 985, 437, 820, 20, 330, 910, 361, 349, 23, 41, 209, 175, 14, 442, 507, 664, 444, 523, 242, 783, 8, 695, 74, 273, 699, 73], [ 342, 441, 468, 889, 653, 509, 303, 147, 686, 236, 894, 696, 648, 36, 578, 980, 122, 766, 602, 251, 812, 627, 447, 434, 818, 828, 808, 48, 814, 384, 581, 389, 782, 656, 725, 986, 455, 729, 568, 878, 226, 154, 967, 165, 405, 52, 253, 6, 405, 936, 169, 269, 539, 960, 536, 658, 20, 619, 993, 79, 415, 554, 354, 630, 277, 221, 134, 420, 180, 495, 603, 582, 807, 51, 115, 624, 586, 658, 822, 472, 895, 648, 246, 538, 987, 107, 703, 455, 95, 270, 93, 999, 373, 21, 383, 174, 504, 522, 494, 446], [ 499, 522, 97, 291, 10, 370, 278, 82, 316, 156, 359, 931, 506, 767, 237, 345, 23, 916, 274, 782, 885, 566, 525, 603, 659, 768, 696, 344, 663, 706, 394, 490, 936, 518, 127, 914, 650, 757, 830, 578, 139, 128, 915, 675, 704, 76, 862, 542, 435, 404, 155, 239, 471, 306, 428, 186, 421, 578, 997, 900, 905, 455, 574, 168, 853, 360, 853, 857, 421, 75, 405, 631, 719, 664, 183, 91, 565, 623, 961, 101, 302, 755, 960, 625, 884, 165, 399, 389, 835, 688, 296, 356, 923, 250, 638, 854, 38, 222, 872, 372], [ 694, 678, 352, 71, 197, 336, 610, 161, 796, 657, 16, 223, 914, 857, 34, 876, 146, 268, 948, 545, 858, 613, 479, 795, 413, 812, 779, 463, 577, 477, 994, 617, 577, 453, 987, 804, 576, 605, 968, 810, 662, 681, 866, 31, 575, 162, 707, 505, 417, 937, 645, 739, 956, 217, 635, 794, 48, 806, 163, 572, 907, 110, 648, 619, 3, 434, 272, 938, 492, 986, 91, 892, 102, 268, 725, 540, 403, 805, 940, 87, 250, 161, 238, 781, 583, 767, 556, 951, 678, 382, 414, 257, 313, 411, 752, 128, 309, 265, 627, 820], [ 345, 397, 269, 50, 594, 928, 501, 732, 14, 474, 144, 16, 55, 264, 421, 676, 71, 793, 795, 370, 128, 600, 89, 758, 646, 880, 762, 0, 679, 844, 401, 606, 168, 994, 21, 71, 540, 183, 245, 900, 295, 198, 794, 720, 642, 453, 44, 673, 760, 98, 797, 339, 50, 22, 658, 561, 924, 799, 936, 997, 641, 398, 32, 714, 154, 811, 801, 193, 626, 646, 642, 394, 270, 660, 266, 466, 732, 440, 915, 324, 745, 343, 685, 418, 202, 260, 996, 536, 156, 119, 202, 170, 741, 947, 883, 424, 856, 900, 524, 753], [ 147, 529, 528, 714, 427, 418, 575, 657, 63, 695, 149, 724, 605, 99, 574, 948, 886, 159, 465, 836, 483, 330, 804, 447, 133, 214, 680, 517, 162, 710, 15, 29, 729, 627, 845, 307, 572, 642, 708, 111, 519, 551, 415, 634, 379, 272, 400, 871, 729, 489, 377, 796, 514, 337, 816, 455, 850, 438, 753, 705, 126, 345, 793, 607, 875, 279, 770, 406, 421, 41, 101, 713, 701, 865, 526, 461, 130, 98, 634, 354, 238, 281, 964, 524, 924, 972, 392, 797, 594, 388, 822, 436, 801, 287, 311, 401, 821, 501, 938, 654], [ 376, 371, 406, 978, 954, 794, 384, 994, 770, 670, 281, 274, 955, 836, 178, 132, 651, 471, 728, 429, 881, 970, 28, 259, 852, 897, 106, 375, 805, 129, 395, 745, 706, 885, 615, 517, 194, 564, 244, 357, 576, 944, 188, 682, 528, 673, 118, 39, 480, 374, 255, 66, 676, 494, 874, 610, 128, 547, 505, 784, 293, 182, 186, 938, 568, 378, 817, 28, 128, 962, 953, 583, 728, 521, 681, 939, 284, 52, 77, 130, 788, 984, 877, 611, 608, 997, 304, 473, 413, 535, 580, 606, 12, 397, 79, 36, 954, 46, 663, 421], [ 951, 659, 998, 554, 567, 889, 275, 285, 514, 492, 274, 923, 400, 170, 438, 824, 745, 447, 868, 807, 13, 695, 533, 130, 816, 794, 72, 879, 547, 557, 129, 962, 942, 440, 643, 803, 722, 611, 127, 431, 864, 86, 553, 81, 78, 653, 236, 14, 970, 587, 205, 42, 548, 74, 389, 275, 62, 834, 933, 173, 578, 702, 512, 423, 962, 51, 926, 80, 228, 526, 331, 554, 681, 109, 67, 90, 148, 586, 511, 576, 339, 590, 962, 905, 364, 729, 3, 362, 46, 871, 159, 434, 96, 625, 180, 999, 373, 979, 118, 246], [ 476, 285, 124, 996, 479, 320, 826, 304, 230, 580, 96, 50, 194, 263, 457, 4, 100, 182, 22, 235, 112, 129, 24, 991, 105, 933, 298, 89, 813, 414, 264, 99, 323, 374, 62, 955, 321, 256, 866, 489, 606, 805, 759, 521, 286, 346, 613, 44, 503, 324, 669, 720, 323, 926, 185, 203, 130, 834, 448, 698, 240, 912, 343, 285, 225, 597, 451, 831, 175, 976, 504, 931, 135, 168, 747, 927, 471, 636, 265, 765, 266, 728, 918, 798, 775, 954, 245, 28, 159, 633, 835, 580, 490, 80, 749, 838, 788, 331, 964, 998], [ 106, 377, 538, 81, 704, 880, 743, 661, 900, 300, 753, 827, 918, 251, 993, 803, 50, 815, 662, 520, 756, 92, 304, 673, 554, 40, 868, 732, 481, 742, 689, 597, 481, 638, 566, 984, 418, 403, 431, 599, 932, 899, 917, 509, 74, 418, 216, 939, 312, 438, 572, 440, 775, 796, 747, 142, 407, 226, 951, 862, 4, 353, 469, 530, 237, 170, 640, 514, 432, 927, 552, 15, 428, 671, 806, 541, 594, 539, 53, 729, 701, 778, 624, 386, 749, 227, 87, 642, 68, 524, 435, 91, 688, 494, 378, 164, 464, 70, 78, 73], [ 445, 32, 479, 771, 252, 849, 126, 433, 634, 465, 860, 355, 999, 663, 987, 451, 290, 895, 238, 764, 157, 865, 518, 701, 372, 936, 570, 176, 900, 607, 686, 710, 524, 346, 359, 433, 763, 832, 103, 973, 795, 922, 467, 140, 603, 7, 876, 686, 681, 921, 641, 680, 916, 396, 465, 992, 759, 424, 204, 587, 728, 167, 458, 408, 995, 3, 378, 589, 809, 866, 313, 331, 396, 301, 968, 265, 930, 51, 533, 340, 539, 300, 579, 902, 444, 832, 465, 250, 948, 806, 805, 185, 961, 582, 712, 721, 541, 975, 714, 940], [ 382, 165, 944, 167, 9, 292, 885, 983, 865, 16, 543, 385, 879, 563, 154, 161, 564, 365, 825, 25, 186, 147, 627, 563, 486, 695, 826, 402, 244, 108, 299, 487, 323, 496, 696, 260, 782, 951, 735, 351, 429, 933, 660, 647, 528, 32, 363, 662, 762, 767, 310, 891, 643, 379, 282, 149, 917, 326, 680, 541, 479, 490, 782, 630, 607, 395, 687, 285, 691, 507, 320, 154, 855, 220, 219, 771, 811, 667, 482, 508, 57, 624, 860, 286, 807, 254, 37, 110, 344, 769, 668, 65, 512, 815, 59, 909, 151, 266, 112, 765], [ 126, 267, 336, 350, 819, 322, 862, 547, 730, 497, 678, 237, 867, 199, 128, 900, 665, 555, 227, 746, 130, 796, 308, 669, 802, 420, 736, 496, 949, 751, 785, 37, 918, 389, 233, 465, 685, 958, 879, 821, 916, 681, 646, 333, 412, 381, 230, 851, 339, 564, 16, 396, 201, 169, 280, 661, 622, 589, 929, 112, 958, 282, 19, 588, 309, 214, 32, 110, 336, 145, 46, 953, 888, 307, 960, 830, 508, 258, 987, 17, 320, 396, 384, 965, 287, 309, 641, 452, 456, 162, 8, 493, 84, 79, 407, 239, 555, 105, 689, 8], [ 339, 32, 682, 209, 73, 135, 733, 71, 304, 819, 376, 913, 301, 696, 181, 47, 168, 454, 985, 207, 891, 469, 287, 639, 455, 994, 496, 508, 188, 257, 738, 442, 329, 654, 70, 408, 982, 855, 977, 354, 577, 348, 628, 933, 859, 74, 505, 964, 436, 884, 272, 370, 805, 696, 72, 950, 502, 254, 872, 199, 203, 361, 200, 869, 879, 652, 460, 928, 549, 286, 857, 768, 968, 48, 515, 632, 830, 288, 71, 874, 477, 531, 720, 738, 254, 802, 205, 824, 929, 522, 430, 12, 298, 568, 652, 457, 458, 407, 428, 933], [ 579, 840, 571, 445, 666, 467, 796, 198, 783, 39, 56, 920, 397, 495, 751, 855, 404, 511, 968, 788, 965, 137, 507, 630, 949, 472, 841, 195, 772, 101, 652, 242, 376, 326, 495, 801, 220, 473, 109, 746, 915, 362, 460, 269, 635, 427, 184, 821, 664, 9, 190, 125, 435, 327, 261, 835, 80, 732, 784, 63, 297, 689, 497, 728, 953, 346, 867, 443, 981, 808, 979, 868, 137, 570, 964, 456, 331, 525, 702, 630, 811, 60, 766, 489, 507, 1, 762, 75, 306, 957, 143, 576, 424, 928, 442, 567, 170, 910, 325, 3], [ 638, 927, 498, 668, 641, 288, 781, 73, 86, 947, 190, 175, 945, 946, 180, 450, 197, 590, 503, 292, 588, 399, 192, 620, 275, 294, 690, 714, 590, 827, 986, 871, 301, 834, 32, 240, 344, 853, 615, 522, 364, 617, 319, 578, 920, 433, 32, 182, 727, 234, 813, 188, 965, 630, 625, 136, 464, 74, 138, 750, 762, 164, 822, 233, 895, 68, 665, 592, 526, 450, 287, 6, 117, 465, 211, 166, 379, 572, 117, 235, 62, 33, 416, 816, 755, 175, 665, 110, 334, 59, 341, 947, 45, 129, 175, 871, 334, 140, 739, 342], [ 175, 997, 699, 604, 787, 270, 696, 608, 544, 923, 843, 973, 379, 378, 308, 919, 990, 144, 99, 148, 480, 925, 561, 432, 732, 484, 78, 232, 999, 492, 41, 943, 705, 642, 245, 472, 81, 645, 706, 398, 850, 233, 939, 809, 63, 799, 600, 793, 339, 329, 134, 701, 907, 157, 403, 724, 43, 233, 588, 150, 399, 868, 437, 960, 354, 875, 489, 325, 734, 617, 282, 611, 218, 187, 654, 684, 99, 756, 865, 668, 817, 721, 609, 366, 711, 948, 179, 287, 410, 488, 268, 317, 208, 755, 74, 515, 140, 561, 879, 557], [ 913, 32, 439, 17, 851, 939, 738, 930, 67, 865, 920, 377, 0, 151, 530, 815, 141, 795, 711, 478, 631, 891, 816, 276, 780, 375, 491, 689, 1, 949, 693, 372, 379, 147, 930, 377, 154, 797, 317, 760, 699, 909, 702, 257, 660, 838, 614, 853, 369, 92, 977, 431, 958, 928, 94, 126, 228, 35, 523, 13, 1, 757, 376, 317, 935, 63, 354, 972, 437, 524, 743, 327, 48, 749, 796, 457, 966, 291, 73, 793, 302, 163, 955, 685, 911, 978, 221, 261, 282, 918, 136, 540, 556, 80, 399, 568, 444, 400, 847, 759], [ 832, 685, 786, 622, 862, 855, 796, 721, 64, 497, 849, 247, 396, 453, 746, 146, 38, 928, 252, 422, 848, 923, 300, 366, 64, 546, 4, 53, 224, 420, 382, 414, 599, 609, 524, 323, 554, 805, 120, 536, 326, 994, 778, 42, 31, 543, 371, 975, 627, 879, 163, 709, 386, 317, 501, 649, 267, 4, 899, 306, 433, 246, 641, 201, 17, 601, 910, 379, 751, 800, 58, 486, 71, 126, 270, 773, 985, 624, 945, 997, 183, 546, 368, 638, 611, 9, 489, 889, 754, 878, 626, 623, 713, 898, 232, 962, 156, 893, 618, 960], [ 767, 32, 809, 532, 706, 675, 868, 645, 184, 865, 647, 415, 214, 585, 864, 236, 840, 90, 153, 704, 228, 491, 294, 562, 176, 403, 695, 42, 598, 359, 156, 368, 723, 268, 788, 579, 362, 910, 548, 595, 475, 768, 761, 100, 247, 917, 929, 34, 836, 961, 233, 245, 830, 901, 25, 283, 851, 454, 899, 713, 660, 141, 253, 937, 895, 268, 890, 440, 0, 918, 403, 39, 193, 492, 15, 578, 70, 196, 110, 684, 686, 111, 718, 753, 421, 155, 626, 110, 98, 14, 85, 264, 978, 721, 366, 999, 763, 226, 147, 123], [ 530, 640, 608, 55, 368, 63, 850, 645, 261, 546, 523, 812, 572, 991, 73, 244, 940, 92, 40, 994, 841, 911, 317, 488, 156, 651, 808, 908, 856, 380, 530, 869, 406, 947, 375, 879, 689, 601, 412, 664, 295, 194, 958, 291, 975, 229, 763, 756, 992, 395, 555, 227, 564, 261, 797, 512, 665, 222, 579, 487, 523, 45, 469, 530, 668, 726, 93, 634, 133, 587, 356, 241, 921, 275, 963, 280, 596, 755, 881, 565, 580, 771, 964, 139, 568, 287, 571, 495, 535, 971, 684, 103, 340, 492, 175, 548, 433, 111, 380, 782], [ 278, 234, 678, 37, 87, 23, 534, 544, 295, 324, 995, 24, 224, 663, 991, 985, 419, 327, 808, 864, 63, 986, 115, 363, 53, 12, 506, 780, 143, 579, 617, 301, 668, 919, 674, 42, 841, 165, 592, 981, 249, 896, 120, 914, 62, 559, 383, 8, 942, 320, 995, 475, 865, 102, 61, 928, 188, 131, 201, 509, 14, 276, 818, 262, 665, 565, 648, 520, 155, 26, 973, 611, 84, 820, 826, 969, 597, 632, 894, 508, 140, 174, 969, 128, 630, 322, 376, 826, 934, 321, 820, 9, 292, 597, 877, 528, 383, 629, 167, 981], [ 705, 778, 774, 752, 636, 716, 3, 310, 428, 231, 151, 115, 419, 840, 297, 957, 277, 243, 403, 390, 921, 180, 513, 79, 836, 349, 654, 150, 423, 127, 544, 211, 66, 943, 302, 495, 12, 110, 409, 464, 815, 690, 13, 501, 744, 916, 774, 657, 44, 466, 556, 349, 675, 759, 383, 11, 517, 450, 803, 261, 897, 690, 39, 494, 47, 87, 569, 979, 96, 679, 113, 35, 232, 975, 630, 58, 100, 515, 600, 197, 176, 894, 78, 634, 590, 409, 694, 944, 258, 294, 430, 885, 784, 980, 605, 365, 63, 404, 617, 80], [ 108, 779, 607, 49, 384, 492, 585, 647, 223, 760, 632, 221, 353, 992, 970, 440, 920, 956, 623, 764, 198, 125, 883, 55, 475, 749, 202, 957, 940, 203, 796, 65, 888, 486, 659, 890, 924, 68, 174, 649, 581, 911, 140, 863, 186, 826, 664, 764, 608, 830, 539, 531, 922, 780, 297, 208, 813, 15, 764, 28, 88, 180, 506, 499, 730, 535, 261, 923, 509, 814, 931, 433, 995, 275, 740, 655, 148, 692, 80, 339, 389, 551, 994, 179, 335, 54, 357, 737, 878, 539, 872, 907, 837, 423, 355, 852, 592, 973, 888, 400], [ 963, 523, 230, 25, 32, 421, 761, 289, 497, 136, 430, 47, 472, 370, 906, 984, 438, 19, 782, 354, 584, 941, 251, 400, 964, 560, 875, 875, 466, 184, 787, 378, 21, 599, 566, 155, 521, 844, 82, 405, 490, 569, 862, 871, 520, 74, 330, 548, 851, 509, 593, 289, 976, 111, 224, 757, 874, 280, 464, 869, 628, 878, 46, 795, 915, 787, 396, 772, 958, 132, 786, 943, 134, 726, 645, 22, 125, 239, 282, 362, 7, 145, 863, 182, 118, 459, 842, 638, 709, 743, 48, 391, 672, 753, 873, 638, 335, 942, 266, 981], [ 845, 783, 25, 670, 930, 50, 50, 245, 395, 681, 580, 441, 915, 592, 47, 710, 353, 899, 26, 367, 563, 955, 524, 665, 520, 517, 389, 881, 369, 25, 251, 879, 22, 373, 368, 269, 0, 48, 724, 399, 819, 781, 933, 369, 822, 552, 873, 215, 329, 152, 243, 943, 308, 643, 263, 960, 348, 379, 178, 194, 264, 583, 365, 63, 220, 521, 842, 415, 946, 703, 721, 199, 664, 937, 110, 703, 903, 271, 705, 643, 176, 104, 821, 496, 102, 142, 747, 538, 392, 515, 830, 191, 52, 318, 6, 471, 911, 945, 288, 868], [ 744, 863, 56, 970, 520, 556, 984, 397, 781, 886, 430, 73, 763, 356, 57, 979, 954, 320, 975, 983, 757, 879, 691, 12, 615, 308, 725, 905, 924, 884, 46, 863, 289, 201, 950, 31, 95, 908, 970, 431, 21, 772, 373, 292, 558, 887, 66, 886, 194, 919, 644, 224, 166, 803, 274, 115, 153, 670, 353, 343, 487, 989, 597, 182, 349, 666, 846, 610, 357, 457, 966, 913, 782, 90, 593, 663, 635, 331, 138, 603, 161, 128, 718, 855, 648, 49, 526, 946, 775, 161, 59, 109, 691, 346, 887, 70, 39, 733, 949, 483], [ 24, 241, 989, 625, 686, 511, 818, 726, 132, 278, 852, 916, 199, 722, 75, 366, 86, 273, 518, 698, 842, 280, 959, 532, 985, 395, 399, 324, 355, 480, 273, 782, 27, 313, 541, 671, 778, 876, 411, 719, 915, 712, 873, 662, 686, 913, 428, 117, 787, 210, 89, 508, 432, 807, 253, 858, 220, 139, 712, 927, 503, 724, 974, 895, 974, 944, 551, 386, 892, 490, 646, 530, 772, 591, 530, 937, 66, 773, 855, 520, 403, 534, 730, 310, 113, 515, 338, 771, 524, 343, 6, 555, 421, 194, 892, 744, 523, 885, 713, 421], [ 623, 848, 337, 335, 658, 580, 447, 454, 27, 518, 685, 610, 931, 81, 878, 349, 258, 762, 66, 574, 949, 825, 391, 981, 75, 315, 491, 551, 239, 44, 253, 492, 230, 509, 177, 930, 749, 796, 502, 420, 999, 741, 555, 686, 595, 41, 139, 453, 26, 538, 480, 373, 473, 553, 344, 180, 847, 437, 700, 171, 542, 62, 379, 883, 544, 254, 350, 900, 883, 273, 134, 385, 420, 505, 265, 347, 211, 916, 814, 888, 401, 690, 471, 883, 817, 94, 551, 989, 393, 885, 240, 470, 245, 468, 298, 195, 389, 227, 303, 195], [ 634, 752, 95, 625, 808, 285, 689, 17, 245, 323, 650, 302, 902, 658, 892, 415, 150, 595, 286, 904, 140, 435, 880, 76, 574, 844, 286, 148, 618, 936, 883, 819, 866, 175, 823, 655, 823, 921, 260, 435, 664, 656, 644, 523, 30, 129, 416, 829, 67, 803, 498, 209, 865, 857, 917, 314, 355, 689, 332, 305, 822, 882, 618, 10, 908, 544, 234, 843, 916, 103, 511, 759, 47, 576, 224, 531, 502, 913, 558, 376, 889, 222, 525, 321, 991, 829, 714, 502, 526, 388, 866, 847, 181, 761, 105, 279, 901, 218, 314, 214], [ 196, 966, 786, 349, 289, 745, 925, 375, 287, 178, 759, 471, 857, 901, 385, 162, 701, 468, 441, 890, 314, 789, 307, 588, 243, 925, 397, 854, 38, 288, 377, 55, 193, 56, 36, 251, 543, 342, 776, 777, 278, 542, 136, 329, 547, 558, 456, 806, 667, 260, 279, 456, 357, 893, 272, 890, 318, 842, 64, 738, 233, 27, 697, 898, 790, 570, 330, 588, 328, 938, 179, 89, 684, 892, 377, 80, 274, 650, 564, 711, 823, 302, 752, 620, 220, 553, 231, 471, 360, 704, 815, 948, 147, 790, 817, 286, 891, 357, 76, 836], [ 646, 913, 594, 812, 515, 997, 178, 539, 982, 320, 941, 704, 495, 644, 413, 700, 48, 527, 80, 12, 833, 523, 277, 930, 873, 637, 833, 605, 829, 399, 780, 879, 694, 607, 323, 926, 456, 846, 946, 510, 409, 754, 958, 87, 898, 553, 117, 605, 157, 845, 951, 647, 774, 175, 517, 528, 669, 356, 95, 990, 64, 710, 176, 117, 501, 78, 468, 460, 752, 235, 711, 216, 772, 529, 708, 732, 711, 159, 938, 399, 434, 646, 315, 946, 510, 493, 461, 430, 929, 999, 578, 666, 736, 70, 121, 230, 745, 421, 559, 554], [ 485, 982, 731, 576, 582, 599, 423, 558, 600, 304, 620, 903, 558, 521, 964, 835, 367, 718, 120, 229, 283, 207, 384, 512, 111, 633, 395, 290, 922, 159, 125, 507, 114, 19, 142, 377, 677, 552, 910, 354, 705, 603, 534, 125, 24, 504, 423, 123, 104, 241, 835, 201, 679, 604, 105, 903, 973, 653, 740, 798, 169, 320, 24, 485, 988, 973, 638, 573, 465, 315, 279, 378, 454, 972, 388, 493, 877, 577, 510, 112, 805, 854, 543, 29, 245, 937, 834, 663, 720, 830, 456, 493, 280, 459, 739, 653, 550, 963, 515, 542], [ 843, 689, 938, 870, 693, 557, 422, 505, 786, 954, 32, 604, 514, 626, 314, 378, 93, 771, 162, 751, 177, 374, 70, 733, 857, 894, 685, 850, 149, 302, 942, 276, 22, 924, 494, 687, 143, 397, 863, 980, 400, 531, 427, 890, 245, 553, 934, 376, 267, 67, 732, 986, 834, 321, 138, 698, 867, 943, 842, 497, 335, 128, 301, 887, 951, 734, 860, 388, 792, 49, 510, 882, 772, 92, 127, 240, 218, 34, 625, 233, 730, 837, 30, 250, 334, 302, 848, 292, 341, 215, 441, 90, 563, 97, 952, 359, 923, 77, 246, 746], [ 738, 804, 858, 41, 236, 917, 28, 741, 332, 918, 643, 516, 248, 45, 336, 791, 410, 718, 220, 788, 73, 163, 24, 804, 304, 321, 909, 296, 399, 204, 541, 510, 557, 370, 549, 826, 365, 922, 719, 932, 354, 947, 786, 610, 117, 259, 245, 28, 745, 119, 856, 640, 759, 977, 31, 780, 33, 420, 559, 329, 791, 942, 502, 976, 770, 0, 899, 29, 37, 539, 474, 758, 314, 667, 653, 4, 426, 854, 766, 499, 336, 686, 221, 348, 126, 827, 508, 674, 595, 420, 329, 149, 24, 701, 226, 483, 168, 581, 515, 473], [ 39, 495, 591, 930, 891, 242, 577, 124, 734, 976, 452, 304, 578, 850, 137, 418, 23, 701, 232, 116, 566, 149, 217, 556, 481, 818, 239, 740, 770, 434, 205, 318, 350, 793, 143, 203, 182, 573, 744, 278, 490, 611, 195, 862, 440, 59, 485, 675, 442, 159, 356, 549, 306, 348, 761, 710, 815, 319, 711, 438, 89, 248, 732, 127, 261, 777, 91, 510, 138, 790, 803, 410, 434, 880, 232, 939, 397, 543, 552, 451, 871, 615, 511, 381, 577, 662, 779, 591, 822, 656, 168, 684, 635, 428, 570, 789, 978, 134, 555, 999], [ 209, 692, 95, 73, 279, 954, 27, 966, 530, 504, 459, 896, 151, 761, 196, 899, 339, 477, 811, 348, 506, 34, 45, 773, 511, 665, 514, 468, 646, 237, 951, 984, 89, 101, 134, 231, 988, 399, 624, 423, 96, 713, 591, 504, 206, 110, 949, 199, 871, 812, 91, 704, 405, 254, 697, 696, 726, 566, 845, 367, 365, 519, 130, 518, 485, 375, 744, 556, 112, 482, 689, 851, 452, 507, 577, 80, 794, 331, 458, 981, 331, 358, 825, 351, 322, 57, 166, 189, 658, 948, 504, 843, 599, 425, 79, 7, 838, 705, 108, 302], [ 411, 81, 71, 3, 826, 621, 360, 513, 933, 922, 983, 980, 552, 759, 494, 143, 792, 798, 0, 144, 141, 216, 502, 115, 702, 815, 686, 247, 155, 376, 116, 774, 179, 567, 15, 528, 497, 923, 486, 291, 902, 188, 109, 112, 567, 608, 954, 506, 958, 975, 734, 903, 494, 612, 922, 2, 571, 759, 544, 519, 963, 970, 992, 401, 327, 506, 800, 665, 472, 232, 791, 499, 223, 488, 204, 547, 879, 939, 232, 189, 770, 858, 158, 224, 902, 885, 813, 611, 169, 117, 155, 396, 756, 607, 719, 119, 543, 84, 687, 109], [ 109, 823, 891, 623, 598, 710, 764, 130, 206, 801, 635, 893, 574, 753, 293, 299, 888, 56, 264, 505, 842, 765, 885, 153, 139, 614, 266, 141, 903, 254, 889, 838, 821, 232, 233, 666, 757, 357, 753, 83, 576, 67, 191, 597, 664, 917, 704, 642, 394, 529, 604, 372, 612, 906, 371, 353, 486, 180, 906, 926, 203, 676, 222, 715, 674, 433, 435, 307, 103, 544, 59, 845, 859, 74, 681, 68, 944, 810, 616, 955, 943, 381, 653, 462, 897, 471, 345, 497, 149, 101, 956, 78, 664, 111, 145, 663, 425, 579, 837, 653], [ 833, 626, 238, 515, 430, 387, 764, 687, 225, 828, 195, 167, 409, 612, 583, 839, 707, 126, 462, 77, 956, 633, 473, 794, 132, 82, 134, 157, 799, 454, 808, 436, 658, 514, 890, 901, 209, 778, 986, 362, 976, 726, 472, 952, 881, 55, 374, 697, 222, 350, 82, 43, 346, 336, 318, 221, 909, 793, 107, 742, 607, 481, 621, 106, 358, 772, 593, 952, 688, 955, 884, 149, 246, 35, 522, 656, 877, 882, 362, 505, 80, 936, 367, 389, 380, 452, 296, 520, 374, 651, 264, 516, 818, 37, 791, 847, 883, 228, 857, 785], [ 92, 714, 922, 792, 693, 891, 323, 115, 163, 493, 451, 42, 791, 717, 965, 702, 393, 949, 391, 620, 411, 446, 551, 361, 896, 635, 683, 323, 898, 497, 884, 633, 422, 133, 228, 772, 353, 735, 599, 975, 305, 985, 764, 710, 370, 358, 190, 24, 84, 875, 760, 278, 442, 391, 990, 267, 729, 163, 970, 120, 597, 426, 919, 480, 983, 862, 160, 325, 680, 314, 357, 89, 533, 790, 669, 307, 665, 491, 425, 852, 704, 865, 916, 26, 869, 153, 639, 522, 19, 408, 527, 96, 721, 995, 707, 601, 215, 352, 623, 224] ] matrix2 = [ [ 441, 279, 954, 649, 952, 840, 914, 480, 981, 841, 875, 520, 253, 404, 301, 768, 97, 276, 25, 760, 968, 548, 7, 730, 141, 549, 980, 249, 810, 203, 543, 770, 158, 200, 288, 866, 188, 789, 827, 105, 987, 989, 97, 898, 40, 460, 88, 342, 404, 551, 594, 867, 543, 856, 373, 250, 781, 267, 260, 510, 555, 319, 576, 447, 288, 451, 986, 17, 406, 423, 795, 21, 19, 563, 162, 527, 26, 355, 901, 337, 109, 79, 930, 988, 778, 330, 682, 728, 95, 982, 810, 10, 44, 660, 323, 233, 869, 858, 661, 923], [ 483, 792, 816, 997, 368, 441, 223, 514, 282, 453, 322, 195, 828, 326, 600, 188, 191, 697, 212, 626, 580, 349, 874, 817, 670, 659, 721, 958, 532, 820, 663, 636, 122, 542, 66, 636, 432, 207, 138, 543, 461, 625, 166, 234, 603, 32, 468, 183, 977, 483, 108, 233, 53, 248, 544, 955, 243, 20, 21, 115, 259, 892, 60, 888, 744, 262, 770, 958, 814, 173, 986, 978, 90, 729, 53, 913, 290, 19, 840, 570, 91, 707, 256, 419, 663, 513, 894, 441, 97, 283, 783, 880, 559, 671, 53, 148, 583, 810, 31, 157], [ 55, 886, 77, 224, 564, 107, 116, 313, 912, 282, 367, 641, 354, 150, 118, 453, 181, 176, 567, 848, 651, 697, 442, 601, 917, 467, 900, 265, 832, 572, 436, 505, 555, 688, 414, 673, 830, 688, 606, 940, 215, 651, 414, 957, 337, 630, 731, 996, 787, 995, 371, 973, 401, 296, 389, 722, 315, 675, 410, 831, 676, 454, 535, 349, 810, 151, 9, 57, 290, 681, 340, 924, 493, 147, 160, 427, 998, 156, 813, 269, 368, 558, 182, 949, 485, 823, 269, 551, 504, 174, 902, 652, 874, 343, 780, 814, 202, 504, 382, 313], [ 437, 847, 409, 389, 903, 707, 570, 580, 7, 374, 819, 73, 312, 886, 322, 878, 997, 381, 817, 311, 121, 785, 78, 16, 550, 90, 254, 879, 37, 634, 650, 8, 446, 317, 715, 918, 883, 195, 139, 928, 239, 900, 358, 670, 37, 91, 291, 207, 304, 36, 624, 300, 357, 285, 569, 143, 908, 924, 298, 739, 352, 141, 592, 45, 309, 633, 99, 785, 17, 712, 324, 686, 324, 484, 181, 675, 431, 796, 72, 928, 854, 13, 160, 937, 684, 34, 409, 652, 49, 103, 10, 639, 940, 590, 20, 467, 405, 172, 146, 703], [ 441, 951, 730, 441, 425, 934, 284, 683, 888, 603, 134, 826, 676, 915, 414, 703, 83, 127, 556, 621, 248, 965, 789, 740, 633, 575, 617, 522, 729, 855, 187, 722, 714, 841, 25, 443, 136, 53, 120, 898, 852, 589, 719, 93, 58, 826, 536, 565, 816, 483, 884, 598, 837, 102, 556, 878, 878, 194, 748, 952, 487, 516, 210, 195, 828, 25, 171, 125, 616, 143, 472, 574, 326, 549, 633, 20, 806, 766, 728, 170, 24, 412, 408, 49, 847, 75, 554, 1, 507, 740, 908, 753, 388, 935, 235, 280, 863, 631, 127, 983], [ 694, 755, 12, 698, 999, 873, 725, 673, 590, 272, 818, 772, 159, 716, 116, 746, 417, 202, 655, 721, 383, 67, 186, 507, 160, 107, 257, 44, 243, 145, 836, 109, 883, 713, 190, 425, 59, 641, 465, 8, 986, 877, 521, 254, 493, 241, 587, 332, 436, 150, 24, 671, 604, 339, 423, 242, 213, 785, 225, 300, 288, 567, 641, 490, 580, 472, 532, 421, 264, 538, 539, 550, 996, 173, 717, 282, 864, 18, 458, 569, 365, 483, 146, 450, 613, 123, 123, 824, 721, 595, 30, 6, 628, 717, 849, 523, 652, 486, 28, 155], [ 195, 174, 617, 548, 536, 29, 513, 869, 469, 223, 220, 588, 182, 491, 849, 690, 16, 453, 154, 452, 557, 528, 750, 3, 654, 759, 746, 314, 686, 724, 242, 395, 808, 693, 652, 772, 335, 507, 33, 859, 104, 920, 508, 970, 620, 193, 398, 809, 664, 372, 924, 382, 172, 379, 455, 980, 264, 824, 913, 559, 919, 369, 712, 48, 251, 278, 197, 918, 777, 826, 521, 968, 50, 840, 935, 680, 393, 499, 217, 912, 773, 210, 181, 558, 405, 837, 856, 861, 920, 226, 561, 332, 54, 658, 169, 958, 827, 739, 138, 36], [ 774, 538, 230, 497, 912, 402, 83, 912, 435, 698, 117, 591, 384, 131, 977, 40, 950, 30, 173, 398, 310, 374, 858, 789, 717, 844, 545, 696, 732, 574, 948, 697, 196, 273, 987, 303, 846, 631, 149, 887, 475, 514, 561, 708, 69, 96, 721, 87, 185, 165, 958, 983, 603, 85, 582, 734, 757, 566, 495, 612, 340, 161, 8, 991, 579, 309, 184, 922, 655, 5, 609, 328, 894, 668, 971, 177, 800, 397, 180, 346, 144, 116, 401, 937, 84, 72, 627, 563, 865, 694, 381, 149, 82, 894, 907, 583, 441, 81, 84, 452], [ 136, 956, 39, 194, 120, 362, 799, 99, 819, 108, 290, 182, 688, 294, 959, 204, 889, 444, 203, 357, 353, 149, 529, 222, 876, 75, 536, 271, 596, 623, 224, 438, 824, 565, 257, 117, 770, 775, 557, 381, 353, 417, 713, 905, 729, 581, 370, 378, 200, 382, 199, 990, 108, 576, 614, 87, 179, 590, 317, 261, 834, 44, 766, 936, 960, 751, 472, 514, 685, 693, 31, 243, 311, 263, 998, 917, 583, 193, 757, 224, 276, 662, 92, 79, 23, 120, 613, 823, 334, 974, 96, 674, 395, 174, 167, 403, 780, 374, 387, 102], [ 778, 196, 562, 870, 74, 279, 202, 149, 786, 738, 917, 719, 716, 493, 327, 588, 436, 356, 381, 164, 946, 161, 21, 783, 108, 377, 389, 2, 745, 597, 305, 456, 347, 454, 900, 943, 846, 815, 143, 540, 192, 997, 430, 339, 550, 146, 485, 750, 342, 4, 100, 776, 14, 68, 635, 318, 871, 6, 293, 932, 245, 227, 80, 471, 56, 181, 718, 850, 567, 796, 183, 903, 166, 984, 382, 561, 333, 670, 339, 159, 587, 126, 675, 373, 139, 453, 508, 735, 463, 354, 426, 824, 276, 479, 717, 202, 598, 810, 820, 203], [ 31, 876, 240, 137, 950, 855, 487, 753, 554, 31, 28, 20, 924, 404, 119, 710, 161, 271, 677, 459, 866, 686, 503, 697, 254, 355, 702, 960, 448, 635, 293, 606, 618, 311, 417, 184, 706, 249, 141, 895, 421, 662, 550, 16, 587, 981, 166, 834, 39, 174, 403, 163, 764, 179, 5, 935, 887, 670, 598, 402, 637, 309, 478, 934, 746, 194, 713, 207, 826, 602, 484, 981, 561, 978, 300, 284, 266, 939, 952, 514, 553, 387, 975, 380, 909, 20, 382, 458, 430, 608, 911, 934, 767, 475, 804, 14, 113, 241, 200, 413], [ 162, 469, 576, 680, 795, 354, 91, 136, 450, 764, 173, 925, 989, 494, 158, 7, 499, 483, 936, 439, 253, 465, 339, 431, 504, 966, 381, 581, 983, 794, 788, 758, 361, 405, 623, 808, 90, 6, 213, 38, 509, 418, 50, 207, 817, 735, 656, 682, 942, 833, 285, 673, 397, 163, 764, 928, 235, 668, 752, 902, 574, 918, 676, 821, 623, 340, 513, 175, 187, 50, 73, 899, 412, 555, 410, 747, 686, 281, 733, 484, 690, 791, 391, 187, 875, 480, 408, 835, 648, 526, 673, 916, 551, 466, 601, 325, 304, 248, 237, 358], [ 221, 754, 971, 735, 372, 83, 236, 950, 708, 563, 411, 583, 930, 361, 603, 709, 731, 521, 310, 980, 990, 943, 473, 986, 200, 792, 62, 937, 34, 503, 514, 842, 305, 933, 115, 731, 660, 132, 570, 48, 337, 610, 641, 6, 222, 746, 616, 410, 145, 655, 930, 866, 833, 158, 287, 893, 965, 397, 602, 773, 833, 109, 626, 587, 273, 870, 277, 589, 850, 287, 809, 363, 955, 319, 766, 897, 45, 121, 441, 621, 970, 902, 892, 965, 639, 788, 634, 692, 727, 573, 298, 898, 299, 973, 937, 282, 48, 645, 153, 572], [ 978, 396, 738, 290, 850, 165, 953, 155, 523, 907, 438, 118, 676, 144, 402, 149, 402, 588, 773, 419, 745, 317, 647, 294, 856, 781, 656, 630, 220, 249, 258, 219, 638, 794, 862, 902, 750, 469, 282, 533, 528, 214, 899, 328, 129, 875, 92, 978, 968, 569, 151, 602, 339, 165, 374, 154, 80, 537, 526, 281, 735, 462, 762, 862, 906, 331, 409, 99, 99, 935, 172, 174, 717, 703, 457, 634, 112, 371, 335, 701, 976, 991, 817, 182, 814, 336, 377, 613, 348, 361, 906, 107, 918, 328, 3, 41, 579, 378, 116, 810], [ 262, 1, 167, 365, 518, 949, 869, 250, 482, 407, 606, 319, 448, 594, 697, 376, 859, 224, 245, 915, 516, 96, 694, 728, 302, 526, 809, 879, 970, 660, 712, 478, 529, 194, 385, 881, 595, 287, 70, 613, 847, 978, 322, 18, 408, 488, 701, 157, 546, 950, 368, 423, 562, 457, 804, 525, 60, 813, 385, 432, 370, 879, 81, 226, 742, 419, 965, 323, 739, 486, 864, 63, 140, 670, 216, 898, 111, 24, 465, 582, 129, 383, 392, 62, 436, 465, 497, 112, 599, 853, 395, 681, 792, 278, 305, 203, 917, 947, 519, 683], [ 24, 828, 335, 457, 672, 58, 979, 236, 589, 660, 280, 196, 213, 200, 968, 740, 711, 99, 190, 657, 507, 242, 804, 102, 561, 999, 890, 372, 698, 619, 96, 78, 741, 349, 209, 837, 550, 61, 142, 54, 272, 316, 973, 168, 71, 892, 893, 785, 857, 161, 62, 554, 190, 696, 30, 55, 748, 395, 55, 119, 511, 979, 776, 412, 65, 3, 435, 551, 356, 350, 988, 240, 260, 209, 948, 592, 690, 826, 433, 997, 356, 211, 890, 792, 541, 476, 529, 935, 697, 777, 108, 396, 648, 131, 167, 254, 510, 969, 543, 495], [ 422, 112, 540, 74, 165, 34, 293, 110, 483, 634, 185, 895, 84, 150, 781, 224, 991, 115, 807, 242, 340, 512, 109, 217, 255, 913, 898, 206, 975, 756, 98, 456, 695, 686, 50, 720, 610, 201, 94, 742, 186, 110, 582, 114, 889, 159, 955, 163, 388, 685, 688, 874, 537, 390, 950, 155, 430, 664, 947, 222, 772, 244, 714, 94, 497, 718, 608, 658, 449, 766, 875, 784, 734, 263, 993, 34, 269, 978, 790, 993, 277, 143, 529, 918, 919, 558, 638, 134, 822, 105, 766, 28, 828, 461, 518, 289, 453, 680, 102, 597], [ 333, 538, 184, 445, 751, 50, 370, 58, 373, 357, 839, 956, 956, 720, 580, 510, 586, 968, 626, 188, 750, 518, 548, 563, 422, 316, 723, 867, 849, 755, 726, 143, 46, 457, 55, 891, 592, 18, 465, 787, 836, 333, 948, 760, 928, 903, 875, 98, 696, 1, 909, 956, 244, 547, 270, 854, 272, 136, 763, 194, 348, 130, 499, 157, 272, 873, 679, 935, 620, 687, 889, 110, 12, 184, 344, 442, 184, 542, 692, 518, 477, 434, 344, 536, 100, 816, 153, 939, 70, 803, 970, 332, 489, 732, 761, 820, 256, 846, 966, 955], [ 696, 801, 249, 667, 447, 127, 422, 648, 524, 215, 126, 448, 445, 693, 604, 193, 114, 811, 500, 461, 277, 928, 802, 181, 259, 647, 906, 126, 361, 549, 657, 968, 510, 735, 696, 471, 864, 264, 266, 626, 506, 410, 669, 179, 768, 743, 659, 235, 112, 893, 962, 694, 467, 197, 568, 300, 476, 572, 590, 312, 30, 158, 38, 684, 219, 98, 321, 40, 839, 64, 796, 888, 109, 577, 363, 813, 758, 428, 23, 546, 742, 704, 857, 451, 5, 221, 155, 396, 697, 713, 110, 513, 479, 109, 932, 244, 879, 139, 564, 838], [ 927, 542, 126, 712, 97, 84, 571, 887, 775, 648, 411, 884, 980, 873, 876, 391, 836, 867, 971, 277, 905, 309, 377, 932, 350, 779, 838, 638, 88, 397, 256, 826, 401, 134, 735, 665, 827, 720, 432, 616, 475, 767, 842, 792, 582, 515, 740, 231, 253, 664, 216, 604, 683, 306, 316, 419, 192, 978, 428, 737, 711, 484, 786, 906, 87, 703, 824, 611, 307, 153, 251, 708, 526, 815, 710, 339, 290, 732, 712, 280, 567, 219, 2, 865, 392, 598, 700, 475, 101, 941, 28, 445, 388, 104, 948, 815, 639, 942, 619, 176], [ 388, 828, 511, 554, 262, 928, 333, 381, 551, 618, 696, 383, 62, 972, 313, 962, 601, 261, 401, 536, 836, 565, 206, 457, 671, 30, 899, 566, 763, 840, 40, 98, 0, 926, 944, 344, 821, 418, 131, 849, 696, 841, 457, 517, 566, 371, 323, 109, 552, 527, 169, 963, 487, 279, 424, 30, 19, 512, 717, 412, 945, 751, 848, 89, 725, 87, 395, 530, 245, 678, 978, 939, 753, 297, 440, 879, 25, 915, 375, 582, 856, 729, 790, 667, 408, 628, 497, 875, 11, 442, 778, 425, 987, 71, 717, 988, 378, 88, 125, 170], [ 138, 973, 776, 541, 679, 589, 474, 139, 827, 963, 527, 327, 720, 908, 156, 507, 163, 695, 413, 997, 437, 675, 997, 694, 829, 582, 842, 242, 312, 109, 206, 246, 540, 896, 212, 419, 475, 671, 35, 539, 19, 682, 278, 371, 413, 916, 772, 121, 516, 774, 78, 910, 809, 80, 631, 607, 401, 229, 359, 281, 189, 891, 215, 199, 382, 702, 836, 395, 176, 348, 591, 510, 941, 610, 7, 369, 515, 534, 964, 176, 965, 548, 251, 726, 661, 318, 647, 313, 747, 649, 830, 761, 610, 206, 202, 265, 656, 679, 503, 987], [ 960, 534, 850, 481, 839, 206, 353, 760, 316, 16, 919, 798, 693, 977, 576, 310, 715, 704, 600, 533, 597, 163, 205, 525, 934, 309, 286, 239, 158, 149, 389, 579, 656, 896, 577, 74, 618, 330, 644, 890, 688, 885, 851, 562, 640, 762, 460, 628, 283, 54, 450, 854, 183, 49, 815, 466, 114, 718, 263, 849, 474, 31, 561, 153, 373, 902, 154, 732, 683, 594, 79, 246, 717, 872, 6, 396, 703, 322, 525, 123, 498, 677, 24, 848, 849, 449, 780, 81, 616, 83, 428, 259, 854, 560, 41, 242, 945, 569, 447, 529], [ 953, 751, 515, 618, 258, 198, 129, 898, 610, 211, 348, 409, 962, 177, 240, 719, 790, 18, 129, 172, 121, 503, 114, 594, 562, 781, 172, 462, 190, 827, 529, 276, 361, 165, 739, 447, 712, 3, 798, 229, 287, 7, 858, 72, 536, 504, 267, 363, 223, 723, 194, 105, 628, 221, 911, 368, 198, 578, 240, 418, 587, 892, 909, 470, 35, 217, 221, 821, 932, 76, 753, 938, 172, 696, 144, 84, 375, 36, 299, 165, 995, 282, 511, 469, 917, 36, 828, 830, 950, 460, 792, 9, 293, 482, 290, 310, 630, 268, 358, 625], [ 203, 54, 356, 983, 226, 436, 950, 167, 688, 150, 546, 975, 710, 327, 339, 521, 712, 318, 533, 137, 855, 716, 641, 662, 344, 878, 890, 900, 826, 124, 221, 305, 909, 397, 523, 216, 581, 250, 58, 143, 176, 812, 695, 645, 603, 764, 774, 79, 947, 280, 860, 605, 312, 957, 752, 276, 353, 859, 245, 324, 297, 236, 387, 625, 312, 120, 769, 839, 236, 204, 29, 275, 753, 256, 920, 255, 512, 176, 916, 292, 787, 773, 169, 134, 773, 586, 686, 440, 635, 481, 626, 225, 282, 45, 65, 278, 494, 105, 754, 374], [ 171, 86, 547, 990, 449, 64, 908, 200, 207, 306, 640, 124, 648, 872, 319, 284, 438, 596, 356, 458, 364, 419, 542, 372, 508, 308, 578, 637, 649, 800, 291, 830, 501, 103, 19, 5, 841, 4, 345, 2, 338, 584, 481, 894, 771, 719, 690, 847, 382, 929, 311, 477, 9, 882, 682, 617, 586, 812, 323, 11, 135, 877, 933, 57, 10, 746, 570, 323, 419, 873, 572, 368, 56, 876, 410, 841, 372, 403, 74, 624, 98, 863, 294, 535, 732, 107, 490, 731, 991, 903, 351, 882, 303, 870, 749, 437, 37, 9, 566, 472], [ 595, 343, 596, 193, 549, 195, 378, 187, 414, 599, 508, 781, 316, 422, 773, 349, 238, 945, 939, 138, 745, 513, 42, 37, 2, 775, 54, 691, 558, 977, 363, 922, 4, 581, 56, 9, 299, 956, 949, 935, 567, 583, 288, 219, 605, 813, 409, 528, 105, 115, 600, 528, 174, 364, 562, 555, 65, 166, 578, 494, 386, 396, 147, 315, 221, 548, 930, 31, 545, 176, 83, 721, 356, 306, 270, 158, 158, 485, 999, 295, 959, 845, 590, 236, 772, 559, 783, 537, 716, 182, 791, 103, 580, 646, 677, 247, 132, 839, 775, 488], [ 781, 240, 951, 639, 806, 23, 471, 805, 755, 373, 584, 276, 400, 163, 860, 544, 755, 647, 69, 22, 667, 167, 758, 55, 432, 576, 109, 477, 531, 932, 428, 402, 360, 385, 630, 473, 130, 383, 465, 445, 634, 266, 205, 535, 911, 723, 35, 764, 747, 338, 920, 52, 355, 335, 698, 367, 45, 432, 356, 446, 912, 226, 702, 976, 532, 239, 691, 719, 941, 898, 108, 909, 612, 184, 336, 314, 880, 413, 861, 79, 432, 349, 543, 712, 165, 475, 712, 10, 588, 29, 997, 922, 953, 502, 841, 828, 653, 279, 628, 792], [ 218, 938, 972, 686, 331, 346, 69, 683, 752, 956, 83, 503, 973, 916, 965, 207, 344, 664, 268, 634, 93, 316, 970, 218, 943, 838, 584, 533, 258, 859, 662, 908, 68, 654, 352, 71, 243, 913, 494, 337, 810, 515, 781, 9, 922, 56, 809, 501, 131, 685, 276, 598, 188, 927, 182, 545, 857, 20, 48, 2, 248, 448, 256, 830, 135, 360, 450, 942, 344, 386, 527, 270, 424, 63, 51, 612, 124, 582, 528, 152, 868, 772, 223, 505, 268, 441, 28, 563, 607, 555, 229, 45, 303, 172, 261, 123, 854, 623, 303, 35], [ 374, 739, 676, 781, 317, 377, 785, 393, 783, 801, 983, 75, 366, 464, 473, 472, 163, 798, 637, 602, 528, 505, 837, 265, 710, 936, 522, 908, 257, 934, 631, 696, 467, 619, 653, 17, 546, 379, 988, 829, 656, 52, 380, 877, 260, 418, 447, 237, 584, 490, 977, 682, 817, 670, 709, 80, 386, 19, 408, 977, 649, 983, 36, 995, 213, 587, 953, 693, 360, 744, 949, 557, 210, 746, 476, 828, 138, 886, 250, 124, 413, 175, 484, 708, 425, 799, 24, 543, 506, 570, 678, 1, 401, 974, 57, 130, 216, 216, 237, 153], [ 937, 536, 860, 128, 362, 493, 214, 872, 854, 358, 741, 951, 270, 177, 147, 608, 699, 391, 170, 364, 506, 157, 886, 196, 671, 231, 321, 487, 430, 888, 607, 778, 872, 379, 280, 107, 525, 946, 693, 978, 886, 395, 549, 884, 470, 331, 228, 712, 566, 914, 636, 268, 956, 542, 195, 691, 933, 337, 993, 113, 747, 597, 537, 311, 783, 385, 684, 869, 793, 626, 541, 662, 572, 947, 523, 908, 83, 233, 169, 860, 545, 904, 965, 657, 402, 628, 270, 793, 102, 132, 360, 216, 259, 237, 645, 466, 163, 489, 360, 708], [ 896, 428, 769, 716, 697, 610, 262, 464, 346, 501, 961, 953, 502, 932, 627, 98, 785, 822, 489, 894, 1, 831, 296, 483, 260, 591, 987, 567, 785, 266, 622, 252, 89, 719, 413, 264, 726, 973, 358, 132, 147, 691, 443, 991, 522, 417, 100, 922, 522, 966, 681, 691, 548, 273, 47, 825, 183, 29, 151, 561, 8, 715, 615, 467, 6, 953, 962, 344, 110, 258, 800, 874, 183, 71, 420, 567, 733, 444, 786, 839, 857, 646, 91, 196, 956, 759, 949, 545, 93, 13, 184, 837, 634, 203, 532, 700, 109, 505, 378, 850], [ 215, 708, 799, 796, 456, 187, 971, 343, 135, 411, 369, 364, 254, 297, 83, 499, 258, 565, 151, 27, 680, 845, 373, 402, 346, 134, 872, 559, 471, 802, 342, 775, 248, 964, 103, 102, 545, 322, 278, 802, 858, 662, 202, 829, 474, 590, 527, 499, 985, 934, 441, 730, 56, 409, 442, 622, 92, 713, 730, 129, 170, 445, 855, 685, 546, 196, 690, 771, 606, 143, 884, 432, 931, 181, 509, 853, 221, 243, 266, 624, 451, 845, 64, 648, 711, 245, 41, 632, 939, 947, 671, 13, 121, 603, 164, 211, 678, 749, 772, 328], [ 9, 307, 259, 990, 737, 363, 38, 587, 677, 656, 643, 809, 963, 263, 226, 798, 708, 236, 42, 251, 307, 34, 846, 924, 760, 559, 403, 926, 899, 515, 192, 597, 788, 509, 61, 519, 299, 701, 207, 902, 262, 987, 669, 231, 367, 593, 551, 626, 996, 71, 483, 949, 62, 783, 971, 880, 65, 310, 912, 932, 983, 826, 649, 13, 480, 83, 628, 450, 470, 52, 294, 255, 422, 256, 253, 465, 384, 207, 61, 63, 190, 194, 809, 39, 400, 99, 704, 245, 223, 254, 539, 787, 447, 30, 271, 484, 691, 262, 595, 83], [ 579, 750, 97, 495, 662, 984, 177, 220, 940, 166, 952, 193, 460, 816, 375, 979, 658, 22, 748, 843, 188, 604, 106, 423, 696, 628, 164, 169, 522, 543, 522, 830, 361, 737, 599, 255, 736, 222, 667, 865, 121, 639, 221, 158, 234, 629, 46, 659, 955, 311, 567, 473, 640, 705, 320, 807, 339, 83, 748, 373, 506, 589, 775, 696, 857, 121, 141, 485, 180, 14, 807, 74, 813, 855, 156, 899, 602, 412, 592, 402, 128, 382, 350, 586, 400, 639, 462, 558, 901, 230, 493, 640, 631, 808, 168, 219, 96, 99, 947, 334], [ 482, 440, 368, 861, 131, 880, 527, 106, 587, 252, 366, 5, 999, 963, 787, 431, 39, 934, 626, 564, 323, 383, 609, 824, 724, 722, 971, 669, 262, 6, 283, 598, 823, 722, 87, 251, 492, 782, 231, 192, 450, 903, 195, 885, 809, 596, 887, 610, 192, 779, 52, 427, 567, 785, 19, 498, 154, 429, 8, 752, 671, 797, 691, 885, 982, 124, 696, 871, 763, 691, 22, 410, 275, 16, 435, 356, 558, 956, 88, 742, 884, 778, 626, 129, 636, 866, 543, 130, 977, 88, 808, 26, 560, 685, 710, 138, 151, 427, 440, 211], [ 328, 906, 697, 29, 55, 68, 959, 288, 817, 207, 752, 492, 136, 662, 122, 545, 474, 972, 50, 910, 316, 540, 126, 642, 537, 297, 526, 358, 210, 189, 452, 689, 16, 342, 557, 43, 204, 155, 69, 500, 598, 138, 188, 860, 199, 984, 960, 665, 161, 673, 791, 517, 221, 310, 266, 805, 92, 217, 355, 70, 544, 989, 920, 798, 180, 31, 806, 957, 509, 860, 764, 116, 371, 321, 195, 985, 673, 223, 4, 502, 78, 635, 563, 357, 173, 43, 388, 428, 935, 330, 484, 352, 967, 14, 27, 938, 170, 653, 706, 29], [ 847, 382, 568, 628, 735, 967, 242, 714, 803, 898, 484, 976, 233, 202, 218, 85, 138, 267, 744, 362, 922, 591, 47, 668, 906, 799, 670, 272, 956, 857, 948, 325, 345, 486, 355, 18, 927, 502, 490, 908, 484, 452, 908, 170, 360, 179, 833, 230, 203, 432, 402, 130, 935, 874, 347, 960, 193, 886, 896, 407, 504, 86, 391, 990, 873, 615, 72, 51, 634, 737, 248, 795, 303, 472, 895, 804, 225, 358, 205, 493, 57, 575, 870, 354, 888, 164, 770, 122, 810, 189, 922, 335, 332, 447, 124, 197, 643, 33, 551, 683], [ 43, 761, 664, 547, 393, 684, 116, 499, 853, 989, 735, 240, 258, 926, 978, 353, 378, 639, 287, 413, 196, 165, 944, 772, 180, 935, 181, 897, 791, 103, 47, 666, 976, 878, 977, 13, 455, 590, 215, 777, 55, 770, 57, 421, 393, 808, 932, 366, 456, 303, 977, 211, 19, 944, 882, 421, 314, 592, 891, 878, 855, 160, 186, 507, 841, 673, 666, 123, 440, 447, 870, 57, 710, 480, 637, 737, 909, 324, 780, 128, 347, 243, 432, 620, 354, 955, 360, 619, 878, 757, 505, 643, 54, 298, 875, 928, 744, 472, 273, 221], [ 391, 920, 604, 17, 118, 417, 316, 482, 101, 631, 941, 612, 188, 443, 263, 511, 140, 70, 319, 404, 632, 817, 150, 414, 573, 557, 210, 172, 892, 612, 952, 762, 196, 207, 323, 172, 368, 444, 321, 34, 337, 215, 887, 645, 874, 316, 321, 438, 452, 995, 37, 627, 186, 710, 706, 816, 609, 188, 346, 170, 547, 706, 895, 896, 866, 811, 373, 351, 403, 870, 196, 831, 978, 341, 26, 432, 80, 619, 456, 740, 366, 327, 179, 702, 114, 327, 218, 762, 442, 340, 123, 986, 521, 723, 298, 457, 28, 646, 606, 479], [ 265, 626, 62, 191, 564, 34, 879, 324, 702, 322, 670, 962, 230, 85, 857, 313, 57, 521, 356, 968, 609, 245, 164, 696, 656, 895, 542, 315, 709, 240, 276, 871, 550, 770, 700, 377, 962, 431, 429, 841, 820, 705, 516, 383, 451, 843, 307, 481, 105, 990, 998, 2, 663, 111, 931, 527, 946, 290, 38, 70, 877, 251, 963, 269, 549, 887, 398, 419, 214, 216, 314, 603, 804, 613, 985, 820, 24, 203, 564, 668, 322, 910, 866, 283, 651, 819, 112, 620, 536, 172, 145, 803, 904, 510, 259, 501, 402, 958, 244, 861], [ 463, 424, 437, 281, 945, 866, 801, 977, 701, 360, 263, 125, 250, 57, 175, 785, 454, 77, 293, 403, 401, 107, 138, 266, 710, 177, 294, 840, 592, 345, 852, 492, 478, 801, 199, 750, 238, 950, 746, 917, 192, 21, 108, 31, 31, 665, 392, 195, 642, 452, 532, 609, 709, 824, 568, 618, 144, 455, 268, 758, 682, 963, 891, 705, 877, 710, 428, 660, 532, 260, 481, 921, 194, 540, 463, 946, 393, 461, 209, 944, 255, 898, 228, 659, 136, 213, 937, 440, 765, 352, 149, 841, 356, 328, 290, 130, 20, 782, 261, 823], [ 372, 534, 678, 476, 344, 493, 56, 171, 926, 202, 998, 573, 943, 961, 478, 273, 131, 73, 47, 920, 490, 348, 61, 762, 34, 361, 334, 383, 774, 249, 661, 194, 137, 761, 126, 796, 800, 208, 525, 92, 868, 104, 546, 321, 456, 501, 535, 791, 995, 38, 922, 843, 304, 570, 382, 470, 704, 165, 691, 533, 612, 595, 896, 948, 477, 341, 345, 370, 136, 677, 183, 114, 309, 578, 500, 267, 960, 800, 613, 607, 135, 399, 979, 982, 808, 910, 292, 192, 414, 432, 485, 714, 153, 849, 752, 805, 656, 896, 426, 483], [ 796, 938, 942, 484, 15, 345, 212, 464, 604, 133, 320, 308, 400, 796, 229, 549, 551, 244, 458, 464, 424, 63, 816, 879, 191, 404, 401, 259, 645, 216, 692, 356, 644, 596, 85, 899, 696, 248, 687, 703, 715, 593, 803, 798, 856, 388, 20, 946, 586, 8, 488, 276, 352, 513, 270, 143, 808, 288, 885, 538, 453, 842, 739, 503, 948, 756, 427, 309, 493, 522, 722, 335, 242, 646, 301, 428, 708, 299, 392, 850, 540, 999, 977, 456, 748, 996, 481, 88, 499, 460, 484, 433, 369, 917, 60, 579, 717, 670, 161, 966], [ 115, 863, 547, 152, 738, 93, 342, 420, 717, 628, 832, 395, 973, 547, 621, 757, 986, 778, 604, 270, 808, 277, 606, 128, 781, 795, 314, 101, 245, 377, 474, 992, 597, 393, 444, 612, 865, 120, 45, 787, 646, 670, 748, 654, 368, 544, 773, 156, 738, 864, 937, 881, 130, 120, 697, 565, 764, 682, 464, 297, 886, 726, 53, 968, 455, 318, 338, 988, 512, 788, 423, 105, 679, 308, 591, 586, 901, 261, 351, 548, 98, 818, 589, 543, 703, 999, 955, 310, 749, 554, 926, 732, 771, 173, 431, 165, 862, 662, 155, 139], [ 607, 327, 200, 135, 948, 235, 469, 59, 49, 31, 507, 818, 558, 225, 674, 787, 460, 990, 469, 996, 415, 280, 153, 934, 125, 275, 853, 71, 616, 146, 943, 40, 470, 822, 652, 73, 969, 701, 667, 268, 950, 171, 413, 385, 398, 286, 713, 946, 975, 749, 956, 958, 752, 416, 898, 631, 885, 417, 216, 392, 412, 510, 309, 345, 83, 48, 449, 854, 512, 808, 40, 521, 484, 761, 625, 40, 939, 239, 810, 69, 414, 169, 311, 0, 34, 348, 138, 883, 23, 746, 973, 158, 806, 749, 796, 691, 279, 784, 589, 736], [ 212, 167, 41, 134, 286, 403, 775, 953, 461, 528, 368, 395, 860, 341, 746, 582, 259, 512, 500, 614, 808, 624, 178, 831, 391, 275, 609, 472, 412, 63, 629, 31, 887, 615, 240, 544, 709, 845, 233, 400, 293, 920, 462, 509, 753, 43, 224, 844, 946, 559, 151, 76, 873, 224, 907, 713, 606, 277, 639, 124, 674, 641, 713, 477, 948, 259, 528, 851, 443, 202, 174, 336, 379, 219, 610, 174, 819, 538, 796, 603, 733, 226, 907, 542, 252, 562, 631, 688, 518, 242, 40, 57, 264, 67, 443, 583, 892, 542, 591, 292], [ 893, 830, 368, 620, 531, 303, 337, 311, 371, 26, 827, 929, 746, 489, 290, 540, 657, 787, 89, 128, 271, 339, 484, 899, 887, 459, 129, 973, 881, 593, 666, 731, 784, 268, 841, 99, 103, 803, 34, 680, 583, 393, 94, 141, 612, 313, 149, 198, 914, 353, 526, 2, 479, 377, 562, 379, 508, 982, 61, 863, 22, 482, 237, 418, 258, 608, 222, 151, 187, 233, 952, 828, 442, 981, 119, 585, 723, 419, 282, 74, 786, 683, 517, 364, 861, 560, 496, 966, 143, 60, 293, 856, 924, 463, 956, 356, 25, 96, 7, 809], [ 507, 739, 898, 679, 89, 695, 429, 665, 357, 661, 714, 991, 408, 970, 344, 374, 277, 170, 136, 237, 139, 667, 726, 258, 761, 425, 756, 207, 15, 403, 244, 879, 978, 821, 802, 215, 768, 779, 513, 451, 641, 581, 993, 10, 107, 692, 757, 385, 724, 637, 94, 871, 408, 791, 201, 59, 909, 154, 714, 230, 419, 651, 674, 467, 710, 524, 257, 349, 470, 890, 85, 962, 67, 105, 172, 968, 226, 373, 896, 516, 54, 553, 33, 873, 787, 863, 515, 778, 98, 960, 985, 125, 459, 625, 806, 195, 796, 913, 475, 718], [ 450, 911, 444, 773, 583, 620, 569, 531, 860, 810, 214, 121, 336, 115, 286, 183, 240, 940, 103, 96, 273, 933, 972, 435, 704, 139, 500, 724, 14, 860, 954, 577, 451, 239, 286, 431, 439, 567, 550, 420, 144, 793, 316, 447, 2, 512, 762, 8, 374, 775, 263, 978, 675, 331, 617, 271, 925, 419, 577, 127, 179, 178, 741, 937, 942, 604, 129, 693, 19, 174, 541, 774, 569, 210, 146, 704, 639, 762, 734, 875, 145, 477, 636, 997, 652, 267, 204, 854, 856, 238, 12, 854, 206, 446, 362, 175, 834, 966, 43, 80], [ 425, 226, 297, 921, 399, 369, 134, 655, 377, 609, 188, 979, 455, 612, 639, 724, 369, 785, 951, 344, 777, 879, 410, 296, 698, 487, 666, 41, 37, 420, 920, 791, 196, 461, 212, 658, 41, 309, 442, 374, 458, 986, 854, 233, 901, 206, 138, 586, 705, 182, 561, 478, 500, 896, 569, 830, 9, 249, 501, 52, 912, 964, 259, 53, 491, 573, 733, 82, 971, 937, 782, 125, 302, 55, 414, 439, 181, 869, 76, 565, 182, 451, 571, 51, 131, 743, 813, 813, 395, 756, 76, 473, 928, 538, 230, 110, 139, 666, 402, 576], [ 321, 295, 868, 382, 715, 356, 106, 688, 460, 547, 859, 215, 587, 738, 250, 657, 468, 288, 882, 878, 924, 902, 354, 828, 140, 187, 752, 665, 438, 311, 399, 18, 605, 314, 30, 502, 294, 516, 443, 403, 798, 539, 578, 959, 302, 692, 44, 521, 527, 685, 505, 310, 377, 371, 877, 26, 121, 909, 754, 851, 419, 682, 248, 958, 529, 945, 649, 603, 544, 607, 631, 557, 823, 777, 576, 369, 983, 952, 65, 584, 52, 371, 988, 597, 982, 28, 249, 783, 169, 167, 893, 32, 171, 831, 618, 166, 920, 864, 399, 215], [ 707, 383, 785, 550, 566, 663, 922, 906, 812, 7, 341, 795, 414, 588, 131, 350, 623, 668, 910, 473, 361, 63, 418, 665, 155, 64, 179, 224, 356, 306, 492, 794, 770, 702, 959, 393, 656, 355, 491, 869, 185, 273, 761, 778, 270, 849, 882, 857, 972, 980, 330, 850, 162, 556, 807, 113, 848, 431, 811, 448, 372, 56, 651, 854, 233, 88, 283, 914, 581, 942, 501, 848, 197, 967, 702, 743, 679, 278, 501, 219, 386, 933, 598, 709, 649, 703, 453, 841, 256, 452, 249, 437, 986, 54, 50, 867, 600, 387, 975, 77], [ 68, 273, 716, 190, 641, 951, 502, 848, 672, 176, 206, 31, 577, 923, 105, 216, 355, 89, 356, 70, 22, 698, 639, 293, 348, 78, 308, 106, 678, 479, 239, 694, 557, 317, 402, 555, 235, 176, 409, 832, 511, 46, 873, 23, 278, 679, 381, 872, 423, 265, 623, 295, 698, 401, 692, 670, 256, 198, 612, 541, 307, 126, 26, 696, 610, 404, 345, 409, 481, 828, 461, 977, 108, 61, 489, 630, 748, 259, 721, 469, 430, 298, 569, 706, 203, 284, 969, 868, 772, 916, 398, 990, 509, 616, 871, 801, 535, 743, 994, 760], [ 416, 913, 216, 683, 588, 820, 97, 673, 951, 49, 756, 362, 359, 62, 552, 598, 625, 938, 223, 87, 31, 76, 73, 623, 428, 894, 102, 487, 329, 669, 976, 105, 937, 659, 561, 82, 313, 707, 491, 68, 185, 698, 522, 106, 411, 135, 100, 616, 52, 904, 456, 644, 762, 227, 239, 502, 781, 905, 862, 409, 757, 315, 597, 864, 155, 883, 231, 223, 314, 972, 780, 98, 441, 670, 40, 552, 455, 769, 559, 64, 135, 31, 698, 686, 302, 945, 920, 974, 131, 762, 111, 603, 607, 693, 790, 681, 794, 909, 137, 713], [ 557, 779, 321, 762, 28, 946, 726, 213, 136, 309, 855, 707, 737, 472, 53, 2, 604, 252, 865, 632, 442, 101, 922, 482, 230, 299, 601, 296, 841, 553, 884, 50, 907, 380, 816, 875, 981, 838, 636, 268, 894, 857, 26, 591, 815, 908, 854, 474, 125, 411, 625, 785, 305, 434, 715, 852, 165, 334, 177, 101, 134, 534, 906, 502, 488, 683, 629, 204, 957, 543, 357, 172, 576, 95, 887, 147, 432, 813, 260, 369, 421, 852, 177, 441, 788, 698, 621, 163, 39, 566, 351, 394, 359, 152, 170, 195, 20, 626, 643, 904], [ 419, 837, 684, 761, 385, 68, 997, 373, 222, 279, 412, 591, 808, 410, 455, 9, 478, 987, 145, 506, 365, 580, 50, 612, 867, 46, 435, 583, 934, 598, 238, 737, 240, 543, 526, 471, 807, 484, 701, 687, 685, 938, 407, 185, 604, 741, 568, 148, 368, 619, 238, 949, 501, 113, 216, 726, 477, 374, 851, 309, 992, 459, 33, 365, 824, 690, 754, 716, 408, 610, 391, 66, 362, 131, 863, 962, 225, 952, 928, 564, 404, 920, 167, 19, 262, 329, 705, 389, 131, 247, 824, 962, 918, 547, 707, 9, 368, 574, 639, 145], [ 693, 917, 254, 863, 543, 631, 996, 599, 757, 952, 520, 803, 487, 670, 677, 258, 54, 973, 418, 659, 509, 7, 347, 280, 300, 418, 852, 179, 954, 541, 524, 490, 101, 11, 281, 596, 184, 689, 265, 857, 653, 204, 503, 356, 190, 796, 735, 358, 80, 810, 909, 378, 846, 947, 338, 963, 67, 965, 122, 820, 506, 260, 689, 855, 488, 602, 84, 164, 930, 595, 488, 577, 639, 678, 208, 535, 673, 283, 912, 716, 407, 145, 953, 67, 217, 48, 68, 948, 982, 79, 65, 14, 527, 689, 61, 914, 299, 455, 614, 349], [ 639, 49, 212, 859, 318, 60, 534, 845, 617, 611, 43, 845, 616, 132, 583, 680, 619, 763, 607, 705, 382, 677, 739, 613, 561, 651, 51, 449, 684, 976, 154, 17, 721, 303, 518, 905, 225, 100, 496, 277, 852, 201, 63, 273, 182, 990, 710, 686, 771, 862, 851, 105, 944, 527, 807, 964, 216, 251, 394, 649, 296, 775, 967, 302, 757, 191, 843, 88, 975, 419, 333, 493, 898, 425, 862, 722, 119, 555, 797, 85, 738, 942, 692, 648, 860, 525, 653, 356, 972, 537, 878, 30, 111, 141, 111, 648, 463, 793, 63, 12], [ 876, 388, 206, 833, 480, 472, 796, 445, 32, 590, 449, 93, 657, 252, 644, 617, 665, 2, 400, 253, 587, 161, 99, 980, 427, 216, 760, 245, 293, 922, 487, 894, 608, 389, 610, 6, 477, 907, 928, 95, 681, 127, 951, 234, 819, 356, 171, 697, 273, 391, 761, 674, 530, 993, 130, 475, 838, 539, 507, 546, 405, 999, 771, 999, 242, 33, 165, 232, 427, 974, 827, 577, 322, 968, 681, 826, 489, 622, 140, 854, 424, 526, 579, 948, 105, 264, 53, 289, 256, 203, 373, 567, 101, 951, 877, 342, 502, 575, 396, 834], [ 656, 536, 51, 232, 965, 16, 498, 579, 975, 694, 570, 238, 342, 125, 513, 199, 538, 737, 862, 860, 80, 316, 769, 11, 940, 630, 849, 243, 689, 539, 17, 658, 678, 939, 981, 762, 559, 221, 699, 553, 180, 384, 423, 588, 544, 186, 26, 54, 595, 738, 701, 197, 978, 647, 631, 943, 478, 368, 682, 206, 885, 525, 788, 908, 102, 961, 53, 98, 294, 849, 520, 357, 38, 889, 804, 361, 871, 856, 303, 198, 437, 227, 110, 229, 66, 266, 576, 256, 844, 298, 168, 186, 351, 432, 166, 876, 537, 733, 324, 154], [ 219, 878, 913, 50, 734, 116, 135, 419, 454, 939, 215, 703, 666, 716, 427, 71, 447, 496, 94, 419, 72, 911, 610, 161, 118, 985, 557, 223, 631, 365, 66, 905, 171, 937, 393, 573, 366, 221, 793, 851, 986, 250, 273, 175, 766, 425, 905, 101, 580, 531, 467, 86, 127, 465, 51, 730, 357, 813, 502, 968, 638, 296, 438, 865, 724, 848, 731, 232, 156, 635, 510, 246, 523, 34, 321, 539, 553, 926, 757, 625, 707, 330, 270, 183, 802, 823, 102, 773, 426, 607, 28, 83, 838, 705, 884, 370, 628, 907, 849, 857], [ 981, 135, 455, 228, 880, 843, 799, 993, 874, 568, 419, 983, 25, 530, 41, 733, 968, 443, 908, 120, 263, 382, 137, 583, 277, 182, 503, 279, 985, 208, 622, 291, 180, 92, 117, 324, 201, 360, 975, 399, 152, 737, 49, 624, 733, 310, 227, 245, 939, 160, 222, 110, 848, 15, 548, 561, 59, 772, 872, 673, 406, 664, 789, 967, 974, 809, 651, 620, 931, 39, 472, 993, 740, 330, 381, 316, 555, 750, 223, 704, 708, 340, 66, 518, 320, 281, 810, 307, 869, 962, 592, 785, 180, 295, 983, 971, 441, 190, 578, 226], [ 517, 314, 778, 104, 936, 330, 684, 500, 75, 200, 423, 581, 931, 231, 326, 712, 529, 126, 233, 877, 318, 821, 664, 874, 947, 553, 223, 147, 41, 84, 609, 287, 948, 134, 103, 795, 148, 121, 751, 503, 541, 458, 690, 334, 858, 409, 574, 72, 51, 269, 535, 226, 128, 944, 174, 481, 482, 258, 320, 620, 548, 864, 575, 31, 430, 81, 895, 510, 572, 852, 120, 217, 11, 642, 64, 572, 617, 659, 52, 417, 768, 609, 857, 858, 504, 561, 312, 922, 485, 225, 276, 185, 545, 783, 86, 212, 378, 885, 288, 669], [ 836, 341, 191, 759, 752, 283, 946, 946, 259, 568, 524, 257, 297, 145, 950, 408, 248, 938, 133, 837, 452, 876, 672, 147, 618, 486, 816, 733, 877, 856, 901, 351, 318, 352, 547, 968, 838, 287, 335, 291, 104, 522, 940, 394, 794, 293, 381, 260, 962, 473, 176, 281, 50, 306, 841, 170, 586, 454, 810, 669, 800, 725, 294, 99, 563, 636, 663, 33, 78, 318, 873, 893, 43, 278, 641, 843, 925, 948, 22, 132, 23, 101, 608, 87, 337, 779, 290, 247, 960, 696, 852, 49, 360, 175, 197, 559, 336, 568, 719, 509], [ 430, 8, 161, 969, 96, 214, 496, 333, 252, 169, 680, 199, 463, 36, 602, 39, 815, 92, 982, 177, 766, 894, 400, 17, 126, 896, 519, 396, 397, 509, 195, 201, 776, 967, 334, 717, 452, 405, 300, 144, 373, 938, 508, 770, 828, 151, 947, 88, 746, 45, 260, 899, 981, 893, 767, 312, 806, 441, 336, 697, 720, 494, 350, 845, 24, 198, 327, 485, 256, 384, 986, 369, 921, 760, 412, 82, 481, 13, 83, 271, 855, 432, 273, 28, 713, 653, 786, 867, 155, 441, 110, 276, 431, 303, 231, 200, 281, 365, 415, 658], [ 519, 228, 523, 208, 330, 431, 823, 41, 820, 593, 289, 95, 166, 534, 544, 942, 577, 106, 561, 963, 229, 31, 326, 922, 753, 727, 874, 12, 481, 352, 209, 342, 279, 873, 825, 804, 398, 860, 798, 792, 471, 347, 975, 786, 866, 750, 795, 21, 446, 55, 909, 160, 874, 46, 886, 259, 305, 780, 966, 231, 752, 11, 171, 649, 997, 796, 629, 476, 937, 745, 958, 637, 751, 917, 682, 348, 629, 847, 73, 180, 453, 309, 47, 339, 668, 441, 415, 713, 438, 58, 315, 933, 671, 983, 654, 516, 431, 310, 171, 463], [ 297, 985, 225, 627, 993, 722, 826, 92, 113, 995, 498, 714, 803, 816, 462, 331, 229, 508, 294, 607, 942, 583, 480, 855, 884, 102, 821, 944, 238, 75, 653, 888, 347, 912, 968, 796, 119, 640, 455, 740, 6, 464, 319, 455, 540, 51, 85, 184, 862, 710, 830, 544, 406, 352, 766, 453, 632, 443, 214, 965, 677, 35, 216, 6, 579, 700, 623, 297, 313, 578, 365, 320, 506, 569, 317, 554, 564, 37, 645, 976, 864, 360, 874, 204, 636, 33, 951, 143, 740, 356, 961, 560, 802, 24, 14, 497, 324, 916, 123, 51], [ 324, 98, 895, 105, 896, 664, 708, 779, 648, 989, 824, 971, 939, 274, 408, 102, 949, 143, 261, 214, 114, 646, 351, 864, 23, 920, 992, 501, 279, 375, 395, 237, 436, 936, 578, 669, 42, 234, 857, 811, 790, 918, 284, 87, 640, 927, 51, 413, 257, 697, 248, 368, 719, 258, 705, 72, 100, 914, 606, 982, 692, 283, 24, 675, 204, 319, 964, 613, 842, 588, 335, 676, 439, 221, 723, 909, 489, 557, 502, 827, 410, 793, 256, 811, 273, 673, 765, 522, 796, 68, 681, 700, 984, 307, 801, 798, 129, 395, 679, 424], [ 986, 596, 799, 236, 629, 385, 96, 790, 283, 403, 299, 416, 379, 276, 263, 635, 133, 382, 666, 483, 478, 439, 939, 664, 307, 933, 447, 863, 564, 102, 401, 413, 171, 166, 24, 242, 622, 795, 595, 64, 563, 47, 584, 944, 970, 735, 751, 497, 270, 627, 143, 756, 983, 584, 464, 857, 22, 46, 89, 204, 302, 569, 892, 660, 630, 880, 897, 458, 32, 390, 772, 255, 491, 862, 336, 453, 597, 832, 189, 245, 304, 92, 691, 712, 454, 707, 783, 219, 891, 723, 0, 892, 374, 907, 29, 466, 839, 682, 608, 404], [ 878, 417, 23, 356, 116, 345, 772, 551, 265, 230, 59, 902, 319, 748, 747, 233, 80, 7, 22, 536, 413, 695, 593, 447, 364, 262, 210, 44, 136, 286, 183, 985, 744, 765, 140, 18, 286, 649, 554, 387, 971, 78, 398, 626, 32, 234, 377, 754, 796, 109, 919, 503, 761, 578, 121, 456, 478, 384, 517, 646, 714, 98, 242, 351, 4, 943, 587, 618, 202, 676, 995, 906, 247, 851, 625, 543, 133, 665, 695, 939, 530, 664, 963, 344, 974, 819, 269, 427, 899, 663, 919, 660, 135, 809, 31, 541, 382, 200, 914, 687], [ 367, 774, 980, 429, 808, 997, 404, 441, 843, 177, 792, 509, 966, 135, 905, 578, 718, 433, 865, 29, 342, 724, 202, 138, 803, 71, 267, 233, 685, 866, 551, 928, 299, 211, 606, 960, 981, 350, 264, 477, 408, 381, 756, 158, 741, 238, 278, 814, 608, 714, 599, 638, 370, 516, 975, 291, 527, 745, 395, 751, 213, 618, 934, 837, 607, 568, 565, 745, 943, 299, 741, 634, 586, 17, 478, 159, 99, 761, 523, 857, 785, 983, 843, 330, 418, 755, 376, 804, 267, 644, 328, 435, 361, 651, 744, 646, 590, 727, 881, 958], [ 984, 569, 207, 203, 88, 750, 706, 3, 37, 600, 497, 448, 173, 758, 860, 295, 533, 491, 609, 510, 95, 200, 89, 31, 35, 430, 700, 667, 26, 848, 623, 802, 270, 398, 213, 217, 115, 159, 296, 226, 753, 151, 911, 24, 792, 70, 378, 752, 791, 300, 975, 768, 471, 29, 999, 417, 12, 317, 771, 888, 519, 607, 722, 305, 594, 840, 812, 351, 75, 811, 259, 598, 306, 536, 7, 953, 13, 839, 301, 196, 957, 858, 909, 858, 937, 693, 908, 774, 281, 448, 978, 989, 367, 228, 381, 724, 608, 174, 423, 453], [ 324, 606, 751, 83, 280, 223, 529, 775, 22, 841, 251, 871, 223, 506, 791, 652, 601, 818, 992, 720, 928, 159, 432, 758, 184, 348, 911, 266, 792, 307, 315, 297, 433, 797, 93, 417, 887, 841, 948, 915, 159, 198, 826, 465, 50, 908, 342, 815, 233, 560, 662, 262, 64, 415, 13, 358, 79, 707, 438, 250, 707, 266, 22, 714, 648, 424, 278, 403, 404, 732, 925, 350, 659, 553, 216, 159, 485, 297, 899, 980, 785, 928, 93, 310, 690, 612, 933, 949, 544, 580, 828, 495, 608, 124, 6, 685, 698, 549, 798, 882], [ 273, 637, 805, 744, 8, 352, 248, 321, 510, 782, 857, 412, 33, 869, 49, 205, 93, 814, 735, 213, 268, 597, 760, 983, 300, 595, 807, 980, 577, 667, 357, 956, 71, 359, 177, 775, 892, 248, 270, 704, 829, 575, 345, 168, 514, 829, 541, 926, 138, 428, 80, 774, 164, 700, 411, 253, 704, 194, 158, 472, 72, 218, 90, 492, 490, 35, 118, 335, 202, 604, 335, 205, 877, 487, 750, 193, 844, 438, 575, 433, 96, 408, 687, 662, 268, 949, 176, 28, 225, 731, 756, 431, 610, 504, 667, 122, 555, 769, 48, 763], [ 127, 134, 16, 708, 757, 899, 491, 149, 93, 834, 174, 632, 403, 711, 300, 642, 524, 826, 9, 855, 957, 921, 353, 734, 723, 974, 908, 974, 368, 90, 132, 567, 511, 786, 340, 914, 233, 591, 766, 436, 451, 888, 453, 817, 599, 762, 989, 74, 908, 496, 377, 854, 331, 39, 216, 383, 166, 447, 224, 803, 459, 761, 722, 752, 99, 312, 579, 680, 642, 201, 286, 78, 194, 191, 786, 890, 438, 898, 14, 745, 268, 6, 589, 490, 774, 626, 320, 508, 275, 831, 52, 564, 763, 134, 915, 397, 936, 729, 365, 792], [ 500, 96, 73, 766, 6, 294, 166, 847, 64, 864, 692, 289, 478, 204, 760, 455, 556, 874, 413, 808, 192, 901, 45, 327, 749, 817, 635, 308, 63, 420, 271, 649, 54, 694, 926, 638, 76, 408, 978, 353, 618, 318, 505, 708, 27, 800, 268, 691, 473, 445, 511, 482, 613, 309, 349, 446, 850, 900, 694, 203, 82, 102, 856, 202, 995, 646, 565, 558, 51, 825, 576, 797, 909, 785, 541, 470, 242, 858, 182, 419, 887, 764, 903, 224, 792, 955, 535, 14, 887, 787, 102, 719, 911, 404, 982, 906, 59, 104, 663, 14], [ 272, 54, 357, 257, 980, 63, 783, 845, 111, 921, 353, 914, 385, 372, 535, 272, 101, 557, 947, 570, 405, 355, 176, 744, 356, 163, 602, 841, 427, 160, 104, 925, 242, 756, 425, 231, 145, 909, 69, 157, 891, 214, 33, 120, 174, 394, 700, 478, 8, 757, 649, 652, 346, 805, 130, 811, 596, 962, 140, 350, 225, 686, 895, 603, 657, 359, 756, 879, 404, 212, 757, 857, 88, 571, 569, 940, 454, 956, 383, 531, 127, 980, 265, 72, 327, 651, 903, 732, 721, 723, 107, 489, 93, 843, 557, 82, 955, 93, 607, 488], [ 365, 251, 463, 814, 818, 350, 53, 955, 600, 754, 947, 652, 616, 348, 152, 823, 329, 31, 815, 792, 130, 470, 371, 562, 152, 670, 800, 498, 539, 684, 69, 273, 335, 535, 240, 682, 49, 979, 222, 638, 448, 71, 230, 689, 784, 647, 650, 400, 673, 344, 824, 950, 483, 497, 284, 746, 734, 305, 631, 90, 827, 853, 859, 422, 57, 938, 39, 92, 651, 818, 156, 704, 253, 671, 206, 836, 180, 278, 111, 690, 876, 636, 581, 776, 410, 183, 242, 688, 904, 15, 835, 616, 166, 173, 740, 56, 245, 750, 59, 487], [ 26, 48, 944, 320, 209, 976, 293, 670, 349, 98, 991, 375, 319, 231, 466, 933, 240, 227, 68, 67, 61, 709, 928, 155, 373, 212, 239, 564, 472, 781, 479, 630, 706, 810, 603, 684, 560, 753, 98, 43, 973, 869, 810, 920, 570, 314, 50, 564, 189, 40, 853, 656, 371, 678, 459, 502, 428, 684, 490, 608, 524, 609, 499, 677, 169, 952, 891, 599, 44, 190, 990, 826, 57, 758, 283, 108, 862, 333, 694, 594, 872, 281, 50, 583, 702, 875, 443, 157, 674, 855, 597, 458, 93, 399, 911, 440, 110, 159, 206, 982], [ 565, 541, 575, 259, 427, 408, 94, 900, 264, 190, 789, 740, 817, 54, 474, 656, 693, 392, 148, 899, 756, 463, 485, 752, 611, 425, 503, 739, 93, 172, 730, 601, 223, 551, 244, 18, 715, 493, 104, 572, 373, 472, 551, 324, 246, 574, 41, 760, 546, 560, 908, 193, 937, 720, 391, 700, 418, 500, 754, 413, 747, 819, 928, 801, 741, 954, 611, 688, 792, 960, 491, 444, 920, 16, 320, 100, 588, 455, 17, 606, 865, 177, 987, 568, 812, 400, 48, 159, 972, 477, 504, 310, 81, 663, 807, 517, 749, 442, 374, 758], [ 952, 772, 319, 516, 456, 461, 812, 22, 62, 732, 28, 386, 681, 368, 837, 619, 130, 50, 189, 365, 301, 669, 128, 467, 735, 739, 374, 874, 535, 218, 525, 754, 951, 463, 504, 241, 738, 480, 435, 182, 498, 879, 742, 300, 916, 76, 593, 363, 637, 526, 250, 838, 231, 176, 723, 356, 30, 15, 167, 102, 289, 155, 778, 816, 868, 654, 430, 530, 789, 796, 561, 873, 267, 838, 258, 274, 155, 262, 520, 680, 558, 373, 665, 504, 522, 209, 19, 182, 489, 892, 252, 12, 854, 88, 169, 658, 728, 860, 158, 763], [ 657, 767, 984, 360, 119, 134, 626, 496, 46, 300, 378, 261, 968, 188, 769, 438, 896, 256, 370, 455, 399, 16, 718, 3, 201, 921, 395, 583, 295, 100, 158, 533, 86, 950, 759, 988, 820, 178, 787, 37, 843, 434, 431, 673, 114, 486, 671, 9, 780, 794, 758, 653, 532, 142, 572, 462, 648, 453, 161, 235, 364, 780, 429, 75, 147, 154, 250, 805, 60, 834, 416, 690, 442, 7, 732, 914, 102, 190, 382, 246, 762, 437, 865, 77, 294, 603, 180, 733, 143, 566, 222, 237, 138, 134, 288, 974, 750, 60, 877, 735], [ 515, 643, 907, 708, 984, 722, 461, 360, 888, 961, 689, 490, 673, 749, 19, 202, 789, 108, 165, 892, 125, 669, 840, 38, 375, 739, 691, 785, 284, 833, 338, 712, 139, 364, 843, 935, 359, 934, 91, 292, 239, 603, 501, 808, 863, 808, 894, 925, 129, 606, 354, 609, 380, 608, 894, 967, 210, 127, 796, 614, 938, 963, 591, 528, 412, 918, 847, 969, 474, 815, 820, 629, 653, 372, 528, 752, 817, 68, 211, 483, 370, 803, 488, 259, 456, 235, 409, 626, 759, 694, 589, 746, 334, 207, 727, 692, 581, 48, 24, 490], [ 615, 138, 479, 250, 430, 821, 771, 908, 333, 409, 622, 903, 676, 991, 378, 191, 45, 296, 335, 992, 107, 78, 676, 779, 950, 797, 138, 529, 579, 364, 627, 509, 908, 702, 559, 657, 320, 599, 995, 335, 902, 941, 954, 935, 949, 960, 220, 669, 568, 700, 271, 122, 127, 563, 447, 730, 364, 771, 328, 206, 434, 602, 87, 875, 391, 369, 113, 797, 457, 444, 174, 623, 439, 76, 825, 381, 893, 262, 498, 365, 880, 67, 106, 552, 679, 790, 487, 745, 421, 488, 52, 606, 470, 923, 94, 814, 420, 402, 367, 471], [ 777, 989, 575, 0, 530, 976, 506, 845, 22, 697, 362, 558, 206, 753, 176, 309, 905, 76, 796, 176, 812, 615, 440, 147, 294, 897, 727, 76, 961, 305, 778, 912, 738, 882, 265, 333, 417, 840, 775, 200, 700, 931, 21, 872, 123, 236, 81, 310, 537, 585, 873, 112, 419, 99, 568, 538, 364, 997, 919, 794, 972, 181, 519, 511, 463, 505, 341, 524, 866, 36, 150, 941, 489, 993, 41, 276, 927, 548, 21, 817, 750, 327, 310, 417, 134, 219, 739, 847, 105, 587, 268, 601, 108, 846, 428, 762, 975, 626, 977, 78], [ 557, 127, 559, 473, 783, 542, 610, 967, 839, 515, 34, 586, 414, 725, 726, 206, 741, 62, 84, 675, 64, 579, 194, 346, 892, 840, 929, 742, 569, 380, 985, 550, 148, 835, 579, 708, 37, 843, 110, 806, 657, 98, 368, 923, 384, 957, 551, 107, 878, 316, 664, 507, 205, 358, 643, 570, 250, 796, 905, 724, 846, 80, 295, 130, 850, 877, 890, 438, 805, 627, 850, 984, 771, 464, 287, 987, 29, 822, 541, 185, 430, 556, 430, 304, 931, 36, 961, 215, 359, 726, 949, 178, 159, 840, 955, 218, 537, 383, 671, 767], [ 969, 580, 785, 75, 176, 805, 666, 451, 185, 210, 700, 19, 710, 764, 419, 497, 891, 389, 442, 22, 708, 810, 435, 265, 324, 575, 887, 332, 718, 405, 570, 813, 647, 317, 136, 511, 683, 353, 806, 753, 889, 275, 716, 170, 518, 289, 893, 711, 596, 140, 437, 743, 585, 818, 869, 605, 69, 524, 515, 136, 140, 640, 732, 458, 895, 982, 122, 365, 501, 707, 319, 128, 223, 161, 904, 677, 60, 175, 60, 258, 237, 54, 808, 357, 415, 883, 203, 333, 357, 93, 734, 767, 803, 873, 409, 198, 950, 833, 727, 674], [ 868, 632, 904, 179, 869, 730, 66, 530, 460, 868, 383, 844, 406, 624, 814, 948, 180, 371, 701, 576, 813, 217, 853, 625, 167, 593, 352, 761, 666, 779, 367, 519, 75, 959, 465, 845, 435, 713, 332, 824, 95, 65, 973, 294, 275, 52, 444, 624, 843, 479, 789, 382, 812, 184, 935, 198, 658, 870, 851, 776, 365, 42, 426, 815, 423, 491, 117, 787, 195, 65, 486, 90, 842, 721, 673, 356, 586, 305, 543, 335, 383, 169, 814, 65, 384, 404, 978, 234, 296, 36, 204, 165, 98, 639, 851, 376, 984, 316, 894, 319], [ 424, 678, 569, 558, 109, 430, 549, 864, 866, 282, 282, 29, 487, 905, 257, 145, 310, 490, 521, 69, 673, 924, 961, 394, 448, 100, 293, 630, 583, 691, 93, 750, 926, 729, 568, 724, 169, 27, 793, 896, 521, 75, 783, 112, 311, 551, 314, 349, 860, 512, 94, 341, 752, 929, 363, 15, 569, 588, 782, 415, 889, 356, 138, 530, 801, 666, 624, 380, 827, 996, 623, 900, 899, 296, 7, 264, 17, 793, 315, 143, 249, 33, 181, 801, 382, 555, 956, 281, 556, 591, 606, 82, 950, 202, 997, 390, 380, 185, 575, 111], [ 885, 502, 515, 779, 714, 172, 651, 461, 623, 261, 576, 79, 702, 791, 332, 781, 522, 869, 570, 185, 762, 565, 624, 360, 533, 518, 710, 286, 961, 531, 549, 801, 925, 485, 68, 442, 563, 124, 485, 537, 896, 196, 75, 800, 641, 19, 112, 922, 367, 831, 34, 299, 911, 941, 521, 751, 688, 373, 258, 770, 703, 189, 741, 241, 310, 977, 36, 963, 760, 417, 577, 702, 284, 6, 980, 70, 164, 750, 762, 918, 837, 949, 448, 437, 675, 485, 505, 424, 743, 291, 350, 780, 663, 266, 675, 968, 303, 911, 865, 85], [ 802, 219, 197, 645, 524, 741, 149, 322, 937, 768, 999, 571, 728, 119, 708, 622, 201, 31, 312, 404, 865, 9, 410, 623, 728, 867, 896, 134, 71, 970, 363, 826, 602, 281, 279, 933, 692, 202, 376, 146, 12, 460, 560, 334, 318, 786, 952, 967, 950, 107, 200, 961, 212, 905, 721, 423, 301, 462, 522, 725, 458, 825, 146, 135, 387, 823, 727, 896, 969, 239, 882, 191, 83, 75, 920, 692, 419, 412, 684, 967, 369, 363, 739, 597, 188, 830, 721, 345, 128, 784, 247, 658, 100, 711, 190, 138, 199, 200, 482, 91], [ 378, 644, 233, 989, 350, 591, 387, 967, 611, 876, 891, 421, 907, 709, 719, 246, 554, 493, 665, 860, 298, 584, 309, 711, 551, 493, 907, 60, 838, 780, 396, 28, 206, 41, 224, 237, 592, 629, 985, 323, 925, 438, 863, 57, 393, 762, 626, 916, 102, 446, 351, 842, 517, 79, 358, 991, 323, 798, 106, 992, 382, 973, 769, 10, 241, 713, 224, 644, 527, 62, 912, 936, 266, 973, 238, 625, 388, 935, 683, 421, 725, 73, 358, 958, 836, 645, 3, 902, 324, 377, 497, 849, 953, 301, 187, 377, 354, 215, 718, 354], [ 718, 561, 503, 907, 558, 310, 147, 559, 180, 841, 753, 527, 228, 803, 738, 652, 875, 440, 952, 651, 198, 810, 221, 692, 275, 589, 340, 76, 304, 538, 81, 978, 414, 514, 269, 272, 274, 324, 708, 24, 35, 456, 432, 904, 814, 852, 211, 283, 593, 403, 289, 855, 317, 203, 285, 844, 925, 252, 785, 9, 195, 2, 779, 629, 526, 297, 594, 545, 555, 996, 810, 292, 378, 711, 581, 40, 155, 469, 894, 42, 144, 735, 462, 68, 439, 804, 599, 453, 532, 382, 234, 922, 46, 560, 663, 579, 151, 619, 512, 962], [ 267, 158, 607, 622, 133, 230, 262, 182, 837, 528, 301, 325, 570, 523, 141, 982, 854, 650, 331, 564, 308, 932, 164, 498, 642, 981, 99, 961, 264, 955, 827, 840, 58, 223, 353, 657, 68, 686, 659, 991, 635, 111, 525, 795, 838, 600, 94, 607, 488, 279, 886, 713, 203, 107, 657, 292, 731, 519, 467, 339, 669, 425, 161, 644, 939, 55, 727, 812, 797, 839, 213, 145, 833, 584, 804, 639, 168, 211, 842, 253, 972, 73, 4, 997, 955, 445, 352, 313, 231, 722, 88, 974, 229, 109, 350, 348, 436, 469, 453, 412], [ 786, 313, 406, 848, 778, 604, 373, 685, 607, 81, 297, 278, 399, 898, 552, 18, 103, 680, 334, 426, 76, 823, 981, 117, 852, 140, 402, 233, 10, 133, 457, 185, 785, 211, 79, 65, 253, 155, 392, 492, 164, 967, 344, 288, 348, 436, 505, 928, 856, 107, 229, 957, 468, 543, 783, 976, 946, 96, 6, 905, 752, 526, 123, 883, 106, 579, 512, 770, 23, 181, 915, 832, 509, 156, 96, 423, 630, 686, 3, 209, 211, 994, 67, 809, 159, 752, 820, 658, 842, 571, 796, 418, 957, 572, 994, 340, 947, 152, 288, 722], [ 549, 983, 337, 805, 677, 278, 888, 137, 204, 131, 165, 377, 738, 967, 752, 852, 463, 768, 605, 28, 318, 640, 737, 751, 9, 212, 433, 479, 714, 121, 781, 718, 949, 78, 665, 284, 635, 250, 446, 263, 72, 163, 849, 933, 831, 660, 471, 151, 307, 801, 49, 711, 191, 238, 672, 789, 756, 531, 946, 701, 880, 711, 355, 729, 864, 904, 934, 64, 583, 153, 400, 375, 62, 84, 494, 71, 103, 689, 713, 857, 291, 557, 245, 712, 291, 183, 18, 743, 305, 827, 400, 758, 832, 62, 168, 375, 758, 38, 496, 870], [ 792, 798, 284, 431, 306, 812, 79, 589, 745, 589, 358, 150, 280, 422, 386, 238, 984, 563, 609, 157, 326, 475, 487, 851, 260, 321, 754, 148, 114, 404, 891, 369, 755, 798, 400, 352, 213, 745, 75, 464, 95, 503, 63, 709, 997, 661, 343, 900, 69, 847, 422, 352, 315, 561, 988, 720, 59, 892, 208, 463, 23, 291, 755, 183, 924, 954, 650, 342, 926, 812, 516, 236, 799, 865, 253, 542, 216, 751, 610, 296, 773, 530, 803, 441, 15, 479, 588, 470, 118, 238, 17, 611, 890, 136, 566, 147, 714, 202, 480, 358], [ 532, 644, 973, 437, 354, 856, 647, 464, 324, 737, 166, 662, 606, 543, 22, 279, 954, 103, 498, 894, 534, 579, 451, 582, 301, 11, 292, 795, 560, 592, 945, 895, 463, 96, 22, 623, 26, 406, 61, 848, 467, 161, 512, 95, 690, 942, 41, 754, 641, 653, 811, 647, 784, 87, 507, 439, 79, 815, 446, 811, 948, 296, 685, 217, 485, 752, 398, 140, 962, 730, 292, 708, 638, 4, 798, 697, 256, 419, 472, 270, 729, 470, 586, 717, 441, 848, 991, 836, 50, 695, 696, 437, 153, 659, 841, 457, 933, 690, 591, 724], [ 396, 316, 856, 63, 63, 734, 58, 251, 299, 371, 17, 429, 490, 74, 864, 936, 850, 335, 173, 185, 391, 573, 183, 899, 203, 951, 641, 181, 395, 206, 414, 296, 194, 256, 634, 337, 148, 803, 373, 525, 379, 632, 410, 485, 168, 996, 427, 124, 264, 895, 620, 630, 761, 927, 855, 254, 798, 677, 610, 784, 741, 847, 793, 775, 547, 950, 354, 501, 264, 633, 721, 813, 411, 685, 556, 828, 512, 73, 684, 836, 73, 362, 810, 438, 984, 788, 438, 517, 53, 103, 487, 446, 923, 407, 685, 973, 927, 988, 662, 643] ] matrix3 = matrix_mul(matrix1, matrix2)